find the nth derivative of 2/(x+1)
91,623 results
Calc I
if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t1)^1/2 * 4t^3 and i'm trying to figure out if i need the product rule again to find the second derivative 1t^3(4t1)^3/2 * 4t^3 The answer if 4/27 and I'm not sure how to get that

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)

Calculus
R=M^2(c/2m/3) dR/dM=CMM^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the max. I get M=C. How do I go

Calculus 2  Series
I am so confused on how to do series problems...especially these. How can you tell the pattern and determining the formula for them? Can someone please help? 26) Write the first five terms of the sequence {an} whose nth term is given. an = (n + 3)/(2n −

calculus
What is the nth derivative of sinhx and coshx?

math
For positive a, b, the potential energy, U, of a particle is given by U = b (a^2 over x^2  a over x) for x is greater than 0 a) find the xintercept b) find the asymptotes c)compute the local minimum d) sketch the graph I don't know how to start this

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

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

Calculus
What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x.

Math
Consider the following where s is in feet and t is in seconds. s(t) = t^3 + 4t^2 + 6t + 4 (a) Find v(t). v(t) = (b) Find a(t). a(t) = (c) Find v(3). (d) Find a(3). v(t) is the first derivative of s(t). a(t) is the second derivative of s(t). I will be happy

Calculus?
1. Find dr/d θ for cosrcot θ=e^r θ 2. Find the normal equation to the curve xy +2xy=0 that are parallel to the line 4x  2y = 10. I know for this I'd have to find the derivative of the curve given. If I rearrange the equation it's (y=xy+2x.... y=2..

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

Calculus questions..really need help, please!
1) Find the value of the lim(x>0) ((sin5x/sin2x)(sin3x4x)). I have no idea where to start so if someone could start it off for me it would really help. 2) If f(x) = (2x3)/(5x+4) then what's the inverse of f(x) So I replaced x with y x = (2y3)/(5y3)

Algebra
Use the arithmetic sequence nth term formula to solve the following problem: The first, second, and the nth terms of an arithmetic sequence are 2, 6, and 58 respectively: find the value of n and For that value of n, what is the exact value of the sum of n

Calc
1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a local maximum at (2,4) and a local minimum at (0,0) 2. Need someone to explain this. Graph a function f(x) for which: f(3)=f(5)=0 f'(x)4 f"(x)>0 for all x I know there is concave

Calculus
Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = 2, g(4) = 6, g'(4) = 5, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: 27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c.

CALCULUS HELP
Find the second derivative for the function 5x^3+60x^236x41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x =

Calc.
find the derivative of 3x^45x+3/x^4+1 i know that the derivative of the numeratoor would be 12x^35 but i'm not sure if its right since it has a denominator i Know i need to do something to it but not sure if to simplify.

arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four

arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four

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

Math
Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and under 8 my answer would be

Math
Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and under 8 my answer would be

12th Grade Calculus
Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(1/3) = 4 I know that first you must find the 1st derivative & for y prime I got 1/3x^(2/3) + 1/3y^(2/3) dy/dx = 0 Then for dy/dx I got dy/dx = [1/3x^(2/3)] / [1/3y^(2/3)] I think that from here

MATH
The triangular numbers are the numbers 1, 3, 6, 10, 15, . . .; the square numbers are the numbers 1, 4, 9, 16, 25, . . . The pentagonal numbers 1, 5, 12, 22, 35, . . .. The geometrical language is justified by the following diagrams: a. What are the first

math
find derivative using limit definition: f(x) = x  sqrt(x) so f'(x) = lim h>0 [f(x+h)  f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything and I can't get the

calc
find derivative using limit definition: f(x) = x  sqrt(x) so f'(x) = lim h>0 [f(x+h)  f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything and I can't get the

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

Maths
Nth terms I have to find the first 5 terms in the nth sequence. please could someone show me how to work this out, using the example below so I can do the next set of questions. 102n

math
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

algebra2/trig
Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is n 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank you

math
The triangular numbers are the numbers 1, 3, 6, 10, 15, . . .; the square numbers are the numbers 1, 4, 9, 16, 25, . . . The pentagonal numbers 1, 5, 12, 22, 35, . . .. The geometrical language is justified by the following diagrams: a. What are the first

calculus
find the second derivative of F(x)=3e^2x(^2) to find the inflection points. I am trying but I don't think I'm finding the first derivative correctly.

calculus
One litre of water at 0 degrees Celsius will have a different volume at higher temperatures. For a temperature 0 ≤ T ≤ 30 (in Celsius) this volume (in litres) is well approximated by the function V = −aT 3 + bT 2 − cT + 1 using the coefficients a =

Calculus
can sumeone plz help me find the derivative of (2x^2  12x 2) / ((x^2 + x  2) ^ 2) thx a lot Use the following rule: derivative of u(x)/v(x) = [v du/dx  u dv/dx]/ v^2 In your case, du/dx = 4x  12; dv/dx = 2 (x^2 + x 2)*(2x +1) v^2 = (x^2 + x  2)^4

Math: partial derivative
z=u(v+w)^(1/2) find ∂^3z/(∂u∂v∂w) what partial derivative am I suppose to be finding exactly? Do I take the derivative of z three times? Please help. Thank you.

Math(Please check)
Find the derivative of f(x)=7x19 at x=2. I think that the derivative would be 7 and theb times 2 so 14. Is this correct or would it just be 7.

increasing and decreasing intervals
Have to find the intervals on which f(x) = 4  sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. When the derivative is

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

calculus
find the nth derivative of 2/(x+1)

calculus
find the nth derivative of 2/(x+1)

Math  Derivatives
Find the nth derivative of y=2x/(1x^2) (Hint: Consider [(1/(x1))+(1/(x+1))].)

caculus
find the nth derivative of 2/(x+1) what i have so far is (?)(x+1)^(n1) i having trouble with finding the first number without using factorial. 2^(n1) works for the first few but not after that

calc
derivative of (x^3/6)+(1/2x)? i got (x^2/2)(1/2x^2) is that correct? and then wut is the (F'(x))2?...meaning the derivative squred? if you meant (1/2)x^2  1/(2x^2) you are correct I don't think they are looking for the square of the derivative, but

maths
if f(x)=(x^2)(e^x) prove by induction that the nth derivative is (x^2 +2nx +n(n1)(e^x) thanks

maths
if f(x)=(x^2)(e^x) prove by induction that the nth derivative is (x^2 +2nx +n(n1)(e^x) thanks

maths sequence
if the sequence is 2,15,52,125,246.... find the nth term expression and sum of the nth terms

mathssequence need help
if the sequence is 2,15,52,125,246.... find the nth term expression and sum of the nth terms

Calculus  derivatives
Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative of (x^x)^(x^x)

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

Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x + 1 (3x + 1 is under

Chain Rule
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x + 1 (3x + 1 is under

Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x + 1 (3x + 1 is under a

calculus
Find the first and second derivative  simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative.

Calculus> bobpursley
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

Calculus Please check
Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,1), and the partal derivative of y (1,1). f(x,y) = x^4 y^2 x here is what

calculus
Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the results to find the twelfth and

College Calculus 1
We have to find the first and second derivative of f(x)=x^(2/3)(6x)^(1/3) I have the first derivative as being (4x)/(x^(1/3)(6x)^(2/3)) And that I know is right. The second derivative is 8/(x^(4/3)(6x)^(5/3)) I did all the work but I am not getting

CALC 1
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

Applied Calculus
Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be

Calculus
I need to find the second derivative of y=x(x1)^1/2. I found the first derivative is 2x1/2(x1)^1/2, if someone could check, but I am miserably stuck on the second derivative.

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

Derivatives Math
Can someone explain how to find the derivative of : 1. y= 5^ãx / x And the second derivative of: y= xe^10x For this question I got up to the first derivative and got this y = e^10x + 10xe^10x but I can't seem to get the correct answer for the second

algebra 2/trig
Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank

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!!

calculus need help desperately!
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 x=5 is given by f^(n) (5)= (1)^n(n!)/((2^n)(n+2)), and f(5)=1/2. Write third degree Taylor polynomial for f about

Calc
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

local min
f(x) = x^4 + ax^2 What is a if f(x) has a local minimum at x=5. How do I justify the answer. The first derivative has to be zero at x = 5. You then check what the second derivative is at x = 5. If it is positive then that's ok. In this case you find that a

Differentiation
Again, that all makes sense. Thank you very much. Thank you very much. I did get the derivative you show, but then divided through by 6 to get at the stationary points. Was that wrong? I'm only looking for a critique please, not answers! given: f(x)= −2x

Math  Geometry
Please help! Need to find the 6th and nth terms in this sequence  and solve for the rule or process. here's the sequence: 1,3,9,27,81 What is the process or formula to get the nth term in the sequence. Thanks!

math
Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x ® h +  when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h

Maths
Hi, I am working on some Nth problems  can anyone tell me if this is correct : Nth term sequence is n + 4 are the first three terms 5,6,7, A nth term is 85  5n are the first three terms of the sequence 17, 34, 51, A nth term is 2n  0.5 are the first

Calc (Derivatives)
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

math
Find the derivative of y=3x2(4^x) Here is my attempt: Derivative of 3x is 3 Derivative of 2 is 0 derivative of 4^x is 4^x(ln(4)) Answer: 12^x(ln(4)) Is this correct? If not please explain what I did wrong and what the correct answer is and why. Thanks!

Math
How would you fine the relative extrema of f(x)=x+8^x ? I know the first step is to find the derivative, which when I did I got f'(x)=1+[(1)(ln(8))(8^x)] Did I find the derivative correctly? And if I did, how do I find the zeroes of that??

CalculusAB
determine if differentiable everywhere: 3xabs(x)1=y i know you're supposed to find the derivative....  then my mind draws a blank? hahah please help me out also y=x ^ 2/5 you find the derivative and it is 2/(5x^(3/5)) now what? thanks so much

Calculus
How do I use the product rule to solve these two questions. Much appreciated! xo Find the derivative for k(x) = (5x4 + 2)(3sin x) Find the derivative for m(x) = ex cos x at x = 1

Math
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

Please check my Calculus
1. Find all critical values for f(x)=(9x^2)^⅗ A. 0 B. 3 C. 3,3 D. 3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x1)/(x+3) is concave upward A. (negative

math derivative please help
the derivative of 2x^e is zero right or no? do i have to use the log formula 2 x^e is x to the power 2.718.. It is not a constant and therefore the derivative is not zero. Use the formula for the derivative of x to a power that is constant (x^a). The

calc
find the area between the xaxis and the graph of the given function over the given interval: y = sqrt(9x^2) over [3,3] you need to do integration from 3 to 3. First you find the antiderivative when you find the antiderivative you plug in 3 to the

Derivative Calculus
I just need my answers checked. 1) Find the derivative. f(x)=3x^5/4  8/9x^9/8 + x^2  9x + 1 Answer: f’(x)= 15/4x^1/4  x ^1/8 + 2x 9 2) Let f(x)= 7x^3  9x. Find f’(5) Answer: f’(x)=21x^29 f’(5)=516 3) Find the given limit by evaluating the

Math
What is the proof for the sum of all rows above the nth row in the Pascal triangle is one less than the nth row?

Math
Could I please get some help for these 3 questions, apologies for asking so many, but they were the ones I was really unsure of: 1. Find an equation for the line tangent to y=ln(x) and that goes through the origin. I have no idea, the ln(x) stuff is

Calc Help
Find two functions that this could be the derivative of: y'=4x+7 Remember the derivative of any constant is zero. take its antiderivative i suppose... y= 2x^2 + 7x + any number

maths
f(x)=ln(e^xe^x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.

Calculus
If P'(t)= [10(t+2)]/t. What is P(t)? It is asking for the derivative, and I am so lost! Because so far we haven't covered how to find the derivative of something so complicated. Any ideas? TY

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

maths
f(x)=ln(e^xe^x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.

maths
f(x)=ln(e^xe^x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.

maths
f(x)=ln(e^xe^x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative.

Calculus
Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = 2, g(4) = 6, g'(4) = 4, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: 27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c.

calculus
find the derivative of f(x)=x^2sec^2(3x) also with g(x)=sqrt(cosxsecx) i get zero because cos and sec cancel each other out and derivative of a constant is zero... am i doing something wrong?

calc
f(x)= x^3/x^216 defined on [19, 16] How would you find the vertical asymptopes? and the inflection point? I think you take the derivative and set it to zero? but i cant figure out the correct derivative or something??

calculus
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

Math
Find the derivative of f(x)= 2 sqrt x at x=4. i thought that the derivative would be 2 x^1/2 but I guess this is wrong.

calculus
i need to use implicit differentiation to find the derivative: yx+y = 8 i keep getting y'=1y. i already know the derivative of this, by using explicit by simplification: y(x+1)=8 y=(8)/(x+1) y'= (8)/(x+1)^2 how do i go about doing this the right way?

Calculus
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

Calculus
Find the value of the derivative (if it exists) of f(x) = (x+3)^(4/3) at x=3. So I got (4*(x+3)^(1/3))/3 for the derivative and 0 for the final answer.

Calculus 1
Find the derivative dy/dx for the following. Simplify your answer. y=(ln(x^2))/(x^3) I got (2/x x^33x^2 ln(x^2))/((x^3)^2) for the derivative is that correct? Or no?