- #1

QuarkCharmer

- 1,051

- 3

## Homework Statement

[tex]\frac{d}{dx}(x+(x+sin^2(x))^3)^4[/tex]

## Homework Equations

Calc up to Chain Rule.

## The Attempt at a Solution

Using product and chain rule I got:

[tex]\frac{dy}{dx}=4(x+(x+sin^2(x))^3)^3(1+3(x+sin^2(x))^2)(1+\frac{d}{dx}sin^2(x))[/tex]

Then I calculated the derivative of sin^2(x):

[tex]\frac{d}{dx}sin^2(x)=2sin(x)cos(x)[/tex]

and put that into the derivative to get:

[tex]y'=4(x+(x+sin^2(x))^3)^3(1+3(x+sin^2(x))^2)(1+2sin(x)cos(x))[/tex]

Do I further simplify this? It does not seem obvious to me. What should I be paying attention to next?

Here is another problem I worked out. I think it's correct, assuming I am using the chain-rule correctly?

[PLAIN]http://img824.imageshack.us/img824/2691/imag0025ed.jpg

It simplified down to something sort of pretty, but that other one looks horrible!

Last edited by a moderator: