
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.

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 ...

a) y =ln(x1) 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^21) 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 ...

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). ...

Use derivative formulas to find the derivative of the function. please show your work h(x)=10^325x^6+3x^15


Find the derivative of the function using the definition of a derivative. F(x)=squareroot(13x) Please show work for understanding, thank you! :)

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...

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...

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!

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!

How many critical points does the function f(x) = [(x2)^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 ...

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!!

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 ...

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 ...

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't exist. I didn't ...


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? ...

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/x2 Please, don't do steps for first ...

Find the derivative of the function. 1. 2x+5/3x2 2. (1x)(1+x^2)^1 Please show work. TYVM. :)

Find f(x) so that it satisfies: f'(x)=1/sqrt(x) and f(4)=2. Please show steps I keep getting stuck at the anti derivative and the constant doesn't solve it so I don't know where I went wrong.

Let f(x) = (x+1)/(x1). Show that there are no vlue of c such that f(2)f(0) =f'(c)(20). Why does this not contradict the Mean Value Theorem? I plugged 2 and 0 into the original problem and got 3 and 1 . Then I found the derivative to be ((x1)(x+1))/(x1)^2. Whould would I...

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

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

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)

I asked these questions yesterday and thanked whomever helping me before clicking the links. When the links were just google searches, however, they didn't help me seeing as I already did that. The google search calculator doesn't show all steps, and when I tried to plug my ...

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)) ...


1. What is the equation of the tangent line to y = 2*x(x  4)^6 at point (5, 10)? 2. If f(x)=8/(x^2+4) , find the slope of the curve at the point (2, 1). 3. The demand function for an item is given by x=200[1(p/(p+2))] . At what rate is the demand changing when the price p is...

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)). ...

i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1  sin(2pi*t). a. Acceleration a(t...

We're doing a lab in my Calc II class and I'm stuck on this question. I tried to do it by looking at instructions for a similar question in the book, but it made me more confused. Here is the question and my work: Find the area of the region enclosed by the lines and curves: x...

I saw this question asked, but I didn't understand the answer format. My prof doesn't use dx and dy after he has differentated the problem. He just uses (for example) 8x+2+y+xy(prime) The question is this: 4x^2+2x+xy=12 and y(2)=4 find y(prime)(2) by implicit differentiation.

y=ln(x+1) +ln(x1) 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^21) The derivative of ln(x) is 1/x So, you obtain dy/dx = 1/(x+1...

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) = (yx)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 ...

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?)

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...

find the derivative of x^36x^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


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

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) ...

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

i posted this question before but can`t see it on the page.sorry if it is there. please could someone help me i need to write an essay for re . i don`t really understand what to do. if someone could explain the question id be very grateful.We had a supply teacher but she wasn'...

please help! having issue with exponent part of problem. I come to 16x^4 but I think it should be 16x^3.i also have complications with finding the domains. find the derivative of the function using the definition of derivative. f(x)=4x^4 f'(x)=? State the domain of the ...

Consider the function h(x) = a(2x+1)^5b, where a doesn't equal 0 and b doesn't equal 0 are constants. A. Find h'(x) and h"(x) B. show that h is monotonic ( that is, that either h always increases or remains constant or h always decreases or remains constant) C. Show that x...

Please help with this. I need the first derivative of f(x)=4(x+squareroot (x(8x)) and then the second derivative of this to show by the second derivative test that it is a local maximum. This is difficult to put into form here and I hope I have got it right. Many thanks.

case 1. Find the absolute maxima and minina values of f(x)=sin2x+cos2x on [0, pie] Specify both the x and y coordinateof the absolute maximum and absolute minimum. Gives answers in exact form. case 2. Use the second derivative test for relative maxima nd minima to find the ...

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mi/hr. Find the rate at which the angle of elevation is changing when the angle is 30 degrees. I found the answer to be 60 radians/hr by taking the derivative of...

What is the domain of the function f(x)=sqrt(x^416)? In interval notation. Please show me how to work this problem out. I cannot find any examples in my book. Thanks!


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) =3t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3t^4/ sin(4t) (0<t< pie)

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) =3t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3t^4/ sin(4t) (0<t< pie)

I understand finding the derivative and there is a simpler way of doing so, however, can someone show you derive at these answers by the DEF'N of Derivatives? Much appreciated! Question 1: Find, from the definition, the derivative, f'(x), for f(x)=5x^23x+1 . Answer: f ’(x...

The sum of two positive numbers is 20. Find the numbers if the sum of their squares is as large as possible; as small as possible. What does it mean? This is from applications of derivatives. How do I solve this. Two numbers, x, and 20x Sumsquares= x^2 + (20x)^2 is max. Take...

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?

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 ...

The function f(x)=2x^3+10.2x^2+202.275x+0.87 is increasing on the open interval (?,?). It is decreasing on the open interval (oo,?) and the open interval (?,+oo) The function has a local maximum at ? I used derivative 6x^2+20.4x+202.275 and find the root but it doesn't work...

1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal f(2) E. None of these I got D. I plugged in...

Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x2)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 ...

Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum or minumum (using ...


sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

Please help with this. I submitted it below and was asked to clarify by Henry (hope this is clearer and thank you). I need the first derivative of f(x)=4(x+ sqrt (x(8x)).And then the second derivative of this to show by the second derivative test that it is a local maximum. ...

Help my find the first derivative of these two questions, please. y = 6e^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.

Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8x)), then close bracket.And then the second derivative of this to show by the second derivative test that it is a local maximum. This...

use the intermediate value theoremto show that the polynomial function has a zero in the given interval f(x)=x^5x^4+8x^35x^214x5;[1.4;1.5] find the value of f (1.4)= find the value of f (1.5)= show work, thanks

Good evening to all around the world. Need help with this question, however i must show my answers supported by the working out. Please help. This question is difficult, the one who solves it for me is my hero!!!! Q11) Two functions f and g are defined by F:x (arrow) 25/(3x2...

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 ...

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(9x) using the limit process. 3. Find lim x> infinity (x + sqrt(x^2 + 2x)). 4. Show that the equation e^x...

a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=sin(x) however in the fourth derivative they reach the ...

Show that the function F( x)=∫(from x to 3x)1/t dt is constant on the interval (0, +∞). Okay so I'm not sure if I should use the FTOC Part 1 or something else but this question is just really confusing. I asked my brother and he said I should just solve the integral but ...


Find the anti derivative of the following: 1. u^2(1u^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.

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2m/3) NEXT R=1/2(CM^2)1/3(M^3) NEXT dR/dM=CMM^2. I checked in the back, and that was the answer for the first part of the equation. Isn't the ...

How do I show that the sum of 3 consecutive odd integers is a multiple of 3? Can you please help me answer this question? My teacher didn't explain on how to solve it very well.

For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer using interval notation.) For this question I understand that we have to find where the second derivative is negative. So first I found the first derivative and got 2x/x^4+2x^2+1 and then I took the second ...

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.

How do you know which rule to use when it doesn't specify? All it says is find the derivative of the function. I haven't had algebra/calculus in over 20 years, I'm completely lost. Please help.

Consider the function f(x) e^x1/2x^2. Find all points of inflection if they exist. Please show sign graph and show work in detail so I can follow for future reference. Thanks.

I don't understand how to write the formulas for unit analysis. I can do the problems, but the explanation of the formulas in my book doesn't make sense with the problems I am doing. For instance, this one: Find the unit rate: $2 for 5 cans of vegetables. I know it is $0.40 ...

How do I show that the equation x^4 + 3x + 1 = 0, 2 <= x <= 1 has exactly one solution in the interval. Thanks. One way to do this is to use trial and error. split the interval (2,1) into 10 equal parts. Then evaluate the function at each point. That is put the value...

Find the derivative using the chain rule. f(x) = ((3x7)/(6x+3))^4 f '(x) = let u= 3x7 v= (6x+3)^4 Then d(uv)= u dv + v du du= 3 dv= 4(6x+3)^5 (6) so what's f'(x)? (thanks for your help) Goodness. f'(x) is d(uv) I will be happy to critique your work or thinking. in the ...


Suppose that h is a function with h'(x) = xe^x. Find all intervals where the function h is concave up. Now, I understand that concavity is determined by the second derivative, so what my question here is, is it just taking the first derivative and then taking it again? Is it ...

it is assumed that f is differentiable and that w has an absolute maximum at t0 w(t)= f(t)/(c+t) derivative is f'(t)(c+t)f(t)/(c+t)^2 Show that f(t0) = f′(t0)(C + t0). I'm having a bit of trouble in the above question. I keep getting f(t0)= (c+t0)f'(t0) instead of f(t0) = ...

I have an electrochem based question. I'm trying to solve for E* based on a chart in my book. I know the equation for solving this is E*= E*ox + E*red. The chart in my book gives a list of reactions and a E*red value. My teacher told us that the greater, or more positive, E*...

Find The Derivative y=5x^(2)e^(3x) Please Show Work

Find the derivative of f(x) = x^3 Show all the work please and thank you!

Find the first and second derivative for f(x) = x^2  9 / X^2 4 please show me how you got the answer for both

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

Find The Derivative y= 9e^(x)/ 2e^(x)+ 1 Please Show Work

Please help me with this math question. I am asked to show my work but I don't know how to solve the problem to show my work. The question is: Choose the correct list of factors of the number 8. Again, I have to show my work with this question. Please help thank you.

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 ...


d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the problem is cos*2*pi*) is ...

19. WorkPad Note: In questions 1921, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher ...

I help solving these out can someone work through them with me???? 19. WorkPad Note: In questions 1921, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. ...

19. WorkPad Note: In questions 1921, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher ...

Hi, I am totally confused with this chemistry because none of this stuff is in my book, so I come to the great ones with my question: 1. Can you show me how to convert celsius to farenheit (please show me an example and your work so I can get it please) 2. farenheit to kelvin...

y=ln(x+1) +ln(x1) 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^21)

Find the derivative of the following: f(x)=ln(e^(2x)/(x^24)^3 Please show all steps so I can follow Thanks!

Find the derivative of f(x)=ln(e^(2x)/((x^24)^3) Please show detail so I can use for reference. Thanks!

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the problem is cos*2*pi*) is ...

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)(x1)^1/3 I got: h'(x)= (x1)^1/3 + (1/3)(x)(x1)^2...


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)

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...

How do I solve for lim h>0 (((a+h)^2 + 1)/(3(a+h)+7)  ((a^2 + 1)/3a + 7)) and then all divided by h? The question was use the limit definition to find the derivative of f(x)= (x^2 + 1)/(3x + 7). I tried solving what I did above, but had no luck. I used wolfram alpha to ...

Show that the curves r=acos(è) and r=cos(è) intersect at right angles. can it be shown that the derivative of one is the negative reciprocal of the derivative of the other?

This question I really don't get it. I tried tried tried to figure out how to start solve the problem but still couldn't figure out. So can you help me with one question PLEASE? If so, can you please explain to me how you get the answer? Also can you show me step by step of ...
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