(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Assume that the Derivative Rule for Inverses holds. Given that f(x) = x + f(x), and g(t) = f^{-1}(t), which of the following is equivalent to g'(t)?

a. g'(t) = 1 + t^{2}

b. g'(t) = 1 + t^{4}

c. g'(t) = 1 + g(x)

d. g'(t) = 1 / (1 + t^{4})

2. Relevant equations

3. The attempt at a solution

This question popped up on my recent calc final and my friends and I cannot agree on what the answer is. I answered with C, and most of my friends answered D, arguing that the fraction makes it correct. Can somebody with more knowledge explain this to me? Thank you!

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# Homework Help: Derivative of an Inverse

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