- #1

Mootjeuh

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## Homework Statement

Hi, I'm trying to find the derivative of a specific equation and I feel like I messed up somewhere but can't figure out exactly what.

## Homework Equations

##y = \frac{x^8}{8(1-x^2)^4}##

## The Attempt at a Solution

First I calculated the derivatives for the denominator and numerator:

##\frac{\mathrm d}{\mathrm d x} \big( x^8 \big) = 8x^7##

##\frac{\mathrm d}{\mathrm d x} \big( 8(1-x^2)^4 \big) = 32(1-x^2)^3(-2x)##

Then the actual attempt at solving:

##\frac{\mathrm d}{\mathrm d x} \big( \frac{x^8}{8(1-x^2)^4} \big) = \frac{8(1-x^2)^48x^7-x^832(1-x^2)^3(-2x)}{[8(1-x^2)^4]^2}##

##\frac{8(1-x^8)8x^7-x^832(1-x^6)(-2x)}{[8(1-x^8)]^2} = \frac{8(1-x^8)8x^7-x^832(1-x^6)(-2x)}{(8-8x^8)^2 = 64-128x^8+64x^{16}}##

##\frac{8(1-x^8)8x^7-x^832(1-x^6)(-2x)}{64-128x^8+64x^{16}}##

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