# Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1)

IS the answer -1/(x+h)(x+h+1)

1. 👍 0
2. 👎 0
3. 👁 66
1. [(x+1)(0) - 1(1)]/(x+1)^2
=-1/(x+1)^2
=-1/(x^2+2x+1)
now doing it as a limit you must let h go to zero
[f(x+h) -f(x)]/h as h -->0
[1/(x+h+1)-1/(x+1)]/h
[(x+1)-(x+h+1)]/[h(x+h+1)(x+1)]
-1/(x+h+1)(x+1)
as h -->0
-1/[(x+1)(x+1)]
-1/(x^2+2x+1) as we knew

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.

asked by George on September 12, 2008
2. ### math

I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you

asked by Sam on October 9, 2008
3. ### largest possible area

Again from applications of derivatives.. what is the largest possible area for a right triangle whose hypotneus is 5cm long, and what are its dimensions. Thanks a^2 + b^2 = c^2 3^2 + 4^2 = 5^2 Area of a triangle 1/2 base times

asked by Jen on November 18, 2006
4. ### Calculus

Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely.

asked by Mike on March 3, 2013
5. ### Calculus

Find the derivatives of the function k(x)=sqrt(sin(2x))^3 I think I have the answer and was wondering if i had it correct k'(x)=2sin(x)^3+8sin(x)

asked by Joe on February 11, 2013
6. ### Calculus

Okay so I have a question on my assignment that says: You are given that tan(y) = x. Find sin(y)^2. Express your answer in terms of x. I know its derivatives, and I've tried taking the derivatives of both etc, and got them both to

asked by Tracy on October 21, 2006
7. ### Albebra

Find the vertex of the function y = –x2 + 2x + 8. It is where the derivative -2x + 2 = 0. Since you probably haven't learned about derivatives, do it this way: Rewrite is as -x^2 +2x +8 = -(x-1)^2 + 7 Now look at the form of the

asked by Joel on March 20, 2007
8. ### Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter

asked by Mello on February 19, 2014
9. ### Derivatives

Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the

asked by Daisy on October 3, 2013
10. ### calculus

Find the derivatives of the following function: i)y=-3x^-3 +2x^-2 + x-2

asked by jayblaze on May 31, 2017

More Similar Questions