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# Finding the Second Derivative of a Function

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How did the book get from here:

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

to here?

-2x (1+ x^2)[1+x^2+2(1-x^2]
___________________________
(1+x^2)^4

I have worked and reworked and I cannot get that numerator to become that. What is the deal?

(This is in the middle of trying to find the second derivative of a function, although I don't believe that should make a difference as I am still plowing through the algebra here)

https://brainmass.com/math/calculus-and-analysis/finding-second-derivative-function-38594

#### Solution Preview

see attachment pls.

This is Algebra that is part of a calculus problem
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How did the book get from here:

-2X(1+x^2)^2 - 4X(1-x^2)(1+x^2)
______________________________
...

#### Solution Summary

The second derivative of a function is found.

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