Wednesday

August 27, 2014

August 27, 2014

Posted by **Steff** on Saturday, June 11, 2011 at 5:02pm.

h(x)= (3x^2 + 1)^3 / (x^2 - 1)^4

This is where I am at the moment....

h'(x)= (x^2-1)^4 (3)(3x^2+1)^2(6x) - (3x^2+1)^3(4)(x^2-1)^3(2x)

This is what I am trying to get....(not final answer)

=2x(x^2-1)^3(3x^2+1)^2[(9)(x^2-1) - (4)(3x^2+1)}

Am really struggling with this. I have the answer in the back of the book but am not getting it right. have the solutions manual also. The chapter is on general power rule and chain rule.

- derivative -
**Damon**, Saturday, June 11, 2011 at 5:16pmh(x)= (3x^2 + 1)^3 / (x^2 - 1)^4

rewrite as

h(x)= (3x^2 + 1)^3 * (x^2 - 1)^-4

first*derivative second + second*derivative first

h' = (3x^2 + 1)^3*(-4)(x^2 - 1)^-5 (2x)

+(x^2 - 1)^-4 *(3)(3x^2 + 1)^2 (6x)

=(3x^2 + 1)^2(x^2 - 1)^-4 [-8x(3x^2 + 1)(x^2 - 1)^-1 +12x]

**Related Questions**

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

math - Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x...

Chain Rule - Any help would be much appreciated with the steps involved in each ...

Calculus - Any help would be much appreciated with the steps involved in each ...

Calculus - Any help would be much appreciated with the steps involved in each ...

Calculus--> bobpursley - How do you get m=0? from taking the second ...

math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...

calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...

math derivative please help - the derivative of 2x^e is zero right or no? do i ...