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Derivative of the inverse at a point Consider the

Chapter 7, Problem 55RE

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QUESTION:

Derivative of the inverse at a point? ?Consider the following functions. In each case, without finding the inverse, evaluate the derivative of the inverse at the given point. 1 f? x)=x+1 a t? (0)

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QUESTION:

Derivative of the inverse at a point? ?Consider the following functions. In each case, without finding the inverse, evaluate the derivative of the inverse at the given point. 1 f? x)=x+1 a t? (0)

ANSWER:

Solution Step 1: Given f(x)= 1 x+1 Here we have to evaluate the derivative of the inverse at the given point f(0) 1 1 That is we need to find (f ) (0)= f(0)

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