Use Theorem 2 to calculate g'(x), where g is the inverse of . (x) = 7x +

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Use Theorem 2 to calculate g'(x), where g is the inverse of ƒ.

THEOREM 2 Derivative of the Inverse Assume that f is differentiable and one-to- one with inverse g(x) = f(x).

ƒ(x) = 7x + 6

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 03:15 AM

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Use Theorem 2 to calculate g'(x), where g is the inverse of . (x) = 7x +

Question:

THEOREM 2 Derivative of the Inverse Assume that f is differentiable and one-to- one with inverse g(x) = f(x). If b belongs to the domain of g and f'(g(b)) #0, then g'(b) exists and g' (b) = 1 f'(g(b)) 3

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Let fx 7x 6 then fx 7 So...View the full answer

Calculus

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