I am attempting to find the second derivative of a function:(adsbygoogle = window.adsbygoogle || []).push({});

h(x) = [(x^2)-1] / [2x-(x^2)]

I proceeded by using the Quotient Rule, and I found the following as the first derivative. (It is correct.)

h`(x) = [2(x^2)-2x+2] / [2x-(x^2)]^2

Next, I tried using the Quotient Rule again, and I found a very long result. I simplified the result and obtained the following:

h``(x) = [2x(4(x^5)-5(x^4)+(x^3)+20(x^2)-16x+4)] / [2x-(x^2)]^4

Is this correct? And, if so, how can I proceed from here? (The answer in the book seems to have been simplified a lot more than this one.

Thanks in advance!

Nico

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# Homework Help: Problem with Differentiation Using Quotient Rule

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