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
check my work on derivatives - Steve, Monday, September 30, 2013 at 11:29pm
Well, the first line is wrong. Should be
((-2x((1+x^2)^2)-2(1+x^2)(2x)(1-x^2))) / ((1+x^2)^4)
Maybe that's all the fix you need. If not, visit wolframalpha.com and enter
and it will show the correct answer which you show above. Then hit the step-by-step solution button to see all the intermediate work.
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