Let f(x) = sin x, f -1 (x) = sin -1 x, and (x 0 , y

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Let f(x) = sin x, f-1 (x) = sin-1 x, and (x0, y0) = (π/4, 1/√2).

a. Evaluate (f-1)'(1/√2) using Theorem 3.23.

b. Evaluate (f-1)'(1/√2z) directly by differentiating f-1. Check for agreement with part (a).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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