Hi, I have a question asking: "f(x) is a differentiable function. Find the derivative of the recip. function g(x) = 1/f(x) at those points where f(x) does not = 0."

What exactly am I finding the derivative of here? g'(x) = -1/f(x)^2?

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- Jun 4th 2008, 01:08 PMSportfreundeKeaneKentDerivative of reciprocal functions
Hi, I have a question asking: "f(x) is a differentiable function. Find the derivative of the recip. function g(x) = 1/f(x) at those points where f(x) does not = 0."

What exactly am I finding the derivative of here? g'(x) = -1/f(x)^2? - Jun 4th 2008, 01:15 PMJhevon
- Jun 4th 2008, 01:19 PMAryth
Due to the numerator being the derivative of f(x), f(x) must be differentiable, which is why it mentions it in the problem. It can throw some people off. But it's necessary information.

- Jun 4th 2008, 02:21 PMJhevon