April 18, 2014

Homework Help: check my work on derivatives

Posted by Sarah on Monday, September 30, 2013 at 10:37pm.

Can someone check my work?

So, I took the derivative of

I used the quotient rule

((2x((1+x^2)^2)-2((1+x^2)^2)(2x)(1-x^2))) / ((1+x^2)^4)

Then I simplified it

(2x+2x^2 - 4x((1+x^2)^2)(1-x^2)) /((1+x^2)^4)

Then I simplified by factoring out some numbers


Then I cancelled out some values


Then simplified some more



My answer was


But my answer is supposed to be


Where did I go wrong

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