# Calculus Question: Find the derivative of this function: g(x)=ln(ln(x+1))+e^(x^(3/2)+(x/3)) Teacher didn't show how to do a problem like this and my book doesn't show anything like it either. Any help with this will be greatly appreciated.

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### math

Calculus Question: Find the derivative of this function: g(x)=ln(ln(x+1))+e^(x^(3/2)+(x/3)) Teacher didn't show how to do a problem like this and my book doesn't show anything like it either. Any help with this will be greatly appreciated.

### Calculus (Derivatives)

Find the derivative of the function f by using the rules of differentiation. F(x) = x^3 – 4x^2 + 3 / x The sign “/” means divided by (OVER)…this problem looks like a big fraction. I am so lost though because I do not know why I keep getting 3x – 4. Can someone please...

### Calc 121

Okay, how would you go about finding the area of a curve from 1 to 4, when y=2x+(2/(x^2))?? It's not like the problem I asked before because here, you cannot use substitution. I tried using 2x for u and x^2 for du but it won't simplify into a ln problem or anything that I can ...

### Calculus

Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of ...

### Calc 121

Okay, how would you go about finding the area of a curve from 1 to 4, when y=2x+(2/(x^2))?? It's not like the problem I asked before because here, you cannot use substitution. I tried using 2x for u and x^2 for du but it won't simplify into a ln problem or anything that I can ...

### English

1. She doesn't like it. Show her another. 2. She doesn't like it. Show her the other. 3. She doesn't like it. Show her others. 4. She doesn't like it. Show her the others. (Are the sentences all grammatical? Which ones are commonly used?)

### Calc

a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ? My teacher says the answers are a) (2x)/(x^2-1) and b) 4/x I am not sure how you find the derivative when they involve ln. Could you please explain to me how to get these answers? I have a quiz on them ...

### Calculus

This is a problem we did previously on a test; my answer was marked correct, but I am having trouble getting my answer in the same form that my teacher gave it. The question: Find the derivative of (x/(x+1))^1/2 His answer: ( (x(x+1))^(1/2) ) / (2x(x+1)^2) My answer: ((x+1)^(1...

### spanish

create conversation in spanish that is basic that has different scenes like teacher asking question like hi how are you class nice to emet you and hten open your book to page and then maybe stand up when the teacher comes and then like talk about other scnes

### Calculus

Use derivative formulas to find the derivative of the function. please show your work h(x)=10^3-25x^6+3x^15

### CALCULUS

what is the derivative of ln(x-1)? If you are studying the calculus of logarithms your question surprises me, since that is one of the most basic ones in that topic. in general if y = ln("anything") then y' = 1/"anything" * derivative of "anything" just apply this rule and let...

### Calculus

Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)

### Thanks TRISH

thanks...even though you didn't help me with that you still helped me.. You're welcome. Like BobPursley told you, I just can't give you the answer. Not only is it not what this site is for, you would never learn anything, and like he mentions, it is cheating. The most I can do...

### calculus help again

if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the limit x--->0 fo function f(x)/g(x)= okay, so f(x)=sinx g(x)=x and the f(0)=g(0)=0 is also satisfied and equals o. so the limit x-->o of sinx/x= is the answer nonexistent according to the conditions of ...

### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!

### show

Returning back on question yesterday MattsRiceBowl, I want to have my own cooking show like Emeril's or Guy Fieri's shows on the Food Network. The purpose of the show is to teach teenagers and post-secondary students how to cook foods themselves if they don't know how, and to ...

### 5th math

my teacher want me to show the work on this problem like < or > 3.67---3.7 shwo want to know how i got the answer cause, i know that 3.67 is greater than 3.7 she said where you work? can you show me one more time .?

### algebra

Problem Two: 5/9 + (2/9)x = 25/7 + (6/7)x – 2/3 Multiply figures inside parentheses 5/9 + (1 x 2/9x) = 25/7 + (1 x 6/7x) – 2/3 Collect like signs 5/9 + 2/9(6/7x) = 25/7 + (-2/3) Multiply like signs 2 x 6 9 7 Reduce like numbers 2 x 2 = 4x 3 7 21x Multiply number fractions ...

### calculus-derivatives

Hello, please help me, I'm studying for a test. :) I won't say the question because I'd like to figure it out myself or try first, but I'm looking for a simpler way to go about this. I have to find the derivative of h(x)= (x)(x-1)^1/3 I got: h'(x)= (x-1)^1/3 + (1/3)(x)(x-1)^-2...

### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show me how u got this!

### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show me how u got this!

### Calculus

I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=-3 Find d/dx of f(g(x)) at x=2. I know the ...

### Calculus

Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. f(x) = 3x + 5 ok...i think you find the derivative first...? but i thought u had to find the critical points somehow... i am so lost! can someone show me how to do this problem? ...

### Calculus

Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 Please, don't do steps for first ...

### calculus

i need to find the derivative using chain rule and show steps: y= (x) / ((x^2)-1)^(-1/2) and is it possible to have free tutoring online like through a chatroom? i am in need of help

### Calculus (Continuity and Differentiability)

Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain that the function g ...

### math help!!!

stuck!! pls help/explain!!! 2. Do the values in the table represent a linear function? If so, what is the function rule? (1 point) x = -2, 0, 2, 4 y = -4, 0, 4, 8 The values do not show a linear function. Yes, they show a linear function; y = x + 4. Yes, they show a linear ...

### calculus

Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)

### Pre-Calculus

Let f(x) = [(√x)-7]/[(√x)+7]. What is f'(x)? What is the easiest way to find the derivative of this? Should I remove all the radicals and use quotient rule, like f'(x)= ((x^0.5) + 7)(0.5x^-0.5) - ((x^0.5)-7)(0.5x^-0.5) / ((x^0.5) + 7)^2 Is this right? How do I ...

### algebra

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane -x/3 f(x)=4+e ( if this makes sense, not sure how else to show it. the -x/3 is after the e like -x/3 to the power of e) please...

### Literature 1010

Transitions function much like road signals. A) True B) False this question does not make sense. when i look in my book ans online, i do not see anything referring to the Transitions function can someone tell me what a transition function relating to Literature.

### Calculus

This is going to be pretty hard to show as text since it would be easier for me to post a picture of the question. The question has f(x) = x/4^2 - (2x^3)/4^4 + (3x^5)/4^6 + ... . I am trying to find out the value of f(2). There is a hint to differentiate the power series ...

### Calculus Help

Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^-xcos^2(x))/(x^2+x+1)

### Geometry 2020

HELP!!! I am soooo lost.... I don't understand anything....I can't really show what I am doing because it has a picture but the direction is: Show an organized proof with justification for every step. Given:Parallelogram ABCD Prove: angel 1 + angel 2= 180 degrees... if someone...

### Calculus AB

Please help I'm stuck on this problem for the past hour. Define f(x)= { Ln lx-1l }/x A) show that f(c) is continuous at x=2 B)Where on the interval [-2,2] is f discontinuous? Show the work that leads to your conclusion. C) classify the discontinuities in part b) as removable ...

### Calculus (Help)

Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the derivative of that and got 1/2(3x+4)^(-1/2...

### to kill a mockingbird.

does the book say anything about scout's physical appearance? i cant seem to find anything. she was skinny with blue eyes and dressed like a tomboy i read that book what was the slushy operation

### calculus

Find the derivative of the function. y=cos((1-e^x)/(1+e^x)) Please show all work and explain. I am very confused

### Calculus

What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like? How would taking the derivative of the function in its original form look different when using log ...

### Math- steve? reiny?

1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^-1(1) and (f^-1)'(1). ...

### Calculus

1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2 -1)). 4. Find the derivative of 2^(e^(sin x)). ...

### Calculus

If x = t^2 + 1 and y = t^3, then d^2y/dx^2 = I know I can solve for t in terms of x and substitute that into y = t^3 and find the double derivative. I also know that I can take the derivative of x and y then divide dy/dt by dx/dt. Then take the derivative to get the answer. ...

### Calculus Help

use logarithmic diff. to find the derivative of the function. Show steps please! so I can see how it is done. Thank you so much! y=(e^(-x)cos^(2)(x))/(x^(2)+x+1)

### Math (Calculus II) (Volume Revolution Setup)

Take the area enclosed by the curves y = sqrt(x), y = 1, and x = 4. Rotate it around the line x = 5. Find the volume. While I understand the general problem would call for the shell method ∫[a,b] 2*pi*r*h dx With r = 5 - x and h = sqrt(x) - 1 But, what happens say if the ...

### Trig

I was doing this problem sin^-1 (4/5) if I'm not mistaking most teachers would say that .927295218 radians is wrong is just an estimation and therefore is wrong so I'm justified in putting this on my paper instead right ( ln( (4i +3)/5)/i ) right? She couldn't mark that wrong...

### Math Pre Algerbra

How did the teacher get this answer for this problem? Okay so heres two questions... first 24/4(2) = 12 and i believe he said he didn't use the (2) but... when i ask a question about a question like that they use the 2 like this 9*3 - 2(5) = 17

### Math Pre Algerbra

How did the teacher get this answer for this problem? Okay so heres two questions... first 24/4(2) = 12 and i believe he said he didn't use the (2) but... when i ask a question about a question like that they use the 2 like this 9*3 - 2(5) = 17

### Quadratic Equations

I couldn't find the sets of factors that add up to -13 in this problem. I have to solve this problem by factoring, not anything like the -b/2a or anything. Plz help, anything is greatly appreciated! x^2-13x+36 Thx for helping ppl! Emily, Couldnt it be anything like 2x+-15x? or...

### calc.

I'm having a lot of trouble with this problem: Sketch the graph and show all local extrema and inflections. f(x)= (x^(1/3)) ((x^2)-175) I graphed the function on my graphing calculator and found the shape. I also found the first derivative: (7/3)(x^(4/3)) - (175/3)(x(-2/3)) ...

### calculus

My a.p. calculus teacher doesn't know how to do this problem (like many others) so he's giving us 5 points extra credit on our test if we can figure it out, but I don't know how to do it: It's as the lim-->infinity (x+sinx)/(x+cosx) We know the answer is 1 because it's in ...

### Calculus

I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find the derivative easily, I'm just having trouble...

### Calculus

How many critical points does the function f(x) = [(x-2)^5][(x+3)^4] have? A. 1 B. 2 C. 3 D. 5 E. 9 --- Ok, these are my thoughts on this question: My impulse was to do derivative of the function. However, if I'm going to set the function equal to zero to find some critical ...

### Math

find the derivative of x^3-6x^2+15x+8 and show by completing the square that function has no turning point. I can find derivative but not sure of next step

### poetry

In "There is no frigate like a book," the lines "Nor any coursers like a page/of prancing poetry" use meter to show

### Language Arts

My teacher said to create an acrostic poem with the name EAST MILLBROOK and we have to fill it in with or goals for the year the only problem is she wants us to use words like exemplify instead or show. Please help me!!! This is what it should look like Exemplify A Show T M ...

### Math

My teacher forgot to tell me how to exactly solve any problem like this, she ran out of time probably. ã5/16 It says simplify the expression, could someone please show me how to do that?

### Calc-Derivative

Find the derivative of x^(1/x). Can someone show me steps for this problem...I go round in circles

### math

-4(2x-3)=-8x+5 Hi Cheryl! The first thing you have to do with this is multiply the -4 into the stuff in the parenthesis. -4*2x = -8x -4*-3 = +12 So the left side is -8x+12 = -8x +5 Now that I'm this far along, we see that there's no real answer to this. If we add -8x to both ...

### Algebra2?????

What would be the missing piece of information given the following information: Find the equation of the line that passes through the points (3, -1) and (2, 5). y = -6x + ? 17 15 20 11 Good. Try this one just like we did the last one...let me know how you do! is it...15? nope...

### math

Please help me Combine the Like Terms, I really need help. My teacher said to show at least one more step. Evaluate the following when a = 4 and b = -1. Question~~ 4a – 5b + 2a – b2 My answer~~ 4*(4)-5*(-1)+2*(4)-(-1)^2 = 28

### Calculus

For the following function, state the derivative and evaluate f'(4): f(x) = x Please show your work! Thank you!!

### Calculus

Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My question was: The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at...

### Calculus

What would an example of a logarithmic function that contains a radical within it and a quotient within it where you would need to use chain rule and quotient rule to take derivative look like? How would taking the derivative of the function in its original form look different...

### Algebra 2

Solve equation and show steps, explain, and i would like to thanks mrs. sue, who answered my last question, and i would like to thank in advanced whoever answers this question :)

### Math

Find the exact value of sin(pi/24) So like i need like the value like sqrt3/2 but for pi/24... also if you could show me the steps so i could figure the rest out, that would be cool

### Math

Find the exact value of sin(pi/24) So like i need like the value like sqrt3/2 but for pi/24... also if you could show me the steps so i could figure the rest out, that would be cool

### Calculus

Help my find the first derivative of these two questions, please. y = 6-e^x (Ans at the back of the book is -e^x) y = 2x+3e^x (Ans at the back of the book is 2+3e^x) And for this question find the first derivative when x=0 f(x) = (e^x+1)^2 Answer at the back of the book is 4.

### Calculus AB

If f(x) = |(x^2 - 6)(x^2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem? None One Two Three Not sure where to start. Like my previous question, I don't have a book or help from my teacher.

### Quantum mechanics, eigenfunctions!

Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st derivative of sin(x)*e^(ax...

### English

1. What is it like to live in the future? - It is like watching a magic show to live in the future. 2. What will it be like to live in the future? - It will be like watching a magic show to live in the future. 3. What would it be like to live in the future? - It would be like ...

### Calc

y=ln(x+1) +ln(x-1) find dy/dx I have trouble with this problem since i'm not that familar with finding the derivative when they involve ln. Please show me how to solve this problem. I should have gotten 2x/(x^2-1) The derivative of ln(x) is 1/x So, you obtain dy/dx = 1/(x+1...

### Algebra

What is the domain of the function f(x)=sqrt(x^4-16)? In interval notation. Please show me how to work this problem out. I cannot find any examples in my book. Thanks!

### Calculus - Integrals

Here's my first question: (FIrst part courtesy of Count Iblis) Integral of x sqrt(19x-7)dx ? Write the integral in terms of functins you do know the inegral of. Rewrite the factor of x as follows: x = 1/19 (19 x) = 1/19 (19 x - 7 + 7) = 1/19 (19 x - 7) + 7/19 ^ He wrote this ...

### Calculus prince@18

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know how to post integral ...

### MATH-STUCK :-(

I really need help factoring these special Trinomials. This question really puzzled me. I thought I had it correct, but when I checked the answer at the back of the book, I was wrong, and so I would like to know what was it that I had done wrong. This was the question: x^2-4x+...

### MATH-Stuck :-(

I really need help factoring these special Trinomials. This question really puzzled me. I thought I had it correct, but when I checked the answer at the back of the book, I was wrong, and so I would like to know what was it that I had done wrong. This was the question: x^2-4x+...

### math

So I've been having trouble solving some problems. Mainly problems that look like this 5-(t+3)=-1+2(t-3) what causes problems is the 5- part. I asked my teacher for help, and he gave me a hint, which is to distribute a -1 like 5+(-1)(t)+(-1)(3) But I still don't get it? Can ...

### Math- Calculus

I need help with these problems, I cannot find a similar example to help me in the book: 1. Find lim x->infinity (e^(-2x) + sin x). 2. Find the derivative of sqrt(9-x) using the limit process. 3. Find lim x-> -infinity (x + sqrt(x^2 + 2x)). 4. Show that the equation e^x...

### Calculus

Find the anti derivative of the following: 1. u^-2(1-u^2+u^4)du 2. (sqrt(x)+ 3/x - 2e^(x))dx The anti derivative symbol is in front of the equations. Also need help on find f(x) so that it satisfies f'(x) = 1+e^x+1/x and f(1) = 3+e. Please show steps so I can understand. Thanks.

### Calculus

Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function evaluated in 9] . I don...

### calculus

how do you find the derivative of (X^2(2+x^1/2))/x^4. I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.

### math (A question for Reiny)

THANK YOU SO MUCH for the help with magic squares! But I have one quick question- how can I show my work! I have to show my work or I receive like 1/2 credit.

### calculus

1.) values of f(t) are given in the following table: t 0 2 4 6 8 10 f(t) 137 112 88 68 49 34 a. Does this function appear to have a positive or negative first derivative? Second derivative? * I think both derivatives are negative b. Estimate (f prime) f^' (2) and f^' (8) ...

### English

1. I like pears, too. 2. I like pears too. 3. I like pears, as well. 4. I like pears as well. 5. I don't like pears, either. 6. I don't like pears either. -------------------------------- 1,2,5,and 6 are grammatical, aren't they? How about #3? There is a comma before 'as well...

### chemistry)):

OMG! I'M SO CONFUSED! Like okay, the question is to write the formulae for the two acids formed when Chlorine is dissolved in water and I like really can't find anything BUT hypochlorous acid but that's just ONE!)):

### Calculus

After an hour of googling this as you suggested, I still can't find the discussions or proof you were referring to. Can you please either send the link you found or help me with this? I don't know how to even start it. Prove that the function defined by: f(x)={1 if x is ...

### Life

Okay, so this isn't homework help or anything but can someone help me find some websites like this one but where i can get advice on different things like...well i have this guy problem and i really don't know what to do and i was just wondering if there was a website like ...

### Math 3rd grade

The roadrunner bird can run 14 times miles per hour. That's 7 times faster than an ostrich can walk. How fast does an ostrich walk? 7 X ?= 14 I would write the equation like this. Not sure my 8 year old would be able to do this. She knows that 7x 2 or 7+7+14, but they want you...

### Calculus

Use the function f and the given real number a to find (f^-1)'(a) f(x)=(x+9)/(x+3), x>-3, a=2 f(^-1)'(a)= ? Can someone please show me how to solve this problem?

### Maths - Calculus

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)

### Maths - Calculus

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)

### COLLEGE CALCULUS. HELP!

i don't know how to start this problem. i don't like cos and sin. im so confuse. 1.f(x)=sin(sin(x)), find f'(x) 2.f(x)= 4sin^4x, find f'(x). this problem i couldn't find it in my math book. i never see it before. because of sin exponent 4 -->sin^4

### calculus

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)

### physics

3 miles to centimeters will someone help with that problem? and tell me how to show my work with all the multiplication and division. like 1 mile over 3 centimeters or whatever (random numbers) but will you show me how and what the answer is please

### Calculus review

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know how to post integral ...

### algebra

How do you solve this math problem? h= -8t^2+40t then it says: when t=0 and when t= 5 there are 2 questions that i have to answer: 1.) find the value of h 2.) graph this equation - i don't know if i did the problem right but when i answered #1 i got h=0, - and when i answered...

### Multivariable calculus

Hello, I have the next exercise about chain rule in multivariable calculus: I have to show that the differential equation: y(dz/dx)-x(dz/dy) = (y-x)z can be change to the equation: (dw/dv) = 0 using the new variables: u= (x^2)+(y^2) v = (1/x)+(1/y) w = ln(z)-(x+y) For that I ...

### Algebra/Can someone show how it is done

Tell what the output value is for the function machine for the given values. x down to x_____x^2 + _____X^2 +1 down to x^2 +1 It looks like a machine. A)5 B)9 C)-7 D)1/2 E)t Can you show how it is to be done

### calculus

Find the derivative. Could you please show me the steps? y = ãx(5-ãx)