Solve for the Derivative of Inverse Function g

intenzxboi
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Homework Statement


Suppose that f has an inverse and f (6) = 18, f'(6) = 4/5. If g = 1/(f-1), what is g'(18)?

have no idea how to set up problem
 
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Do you read your textbook at all? If not then you should! In it you'll find a theorem that specifically deals with derivatives of inverse functions. Please flip through the section in which this exercise occurs and see if you can't find it. Then we can get started.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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