Let f(x) = cos 2 x + sin 2 x. a. Use the Chain Rule to show

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Let f(x) = cos2 x + sin2 x.
a. Use the Chain Rule to show that f'(x) = 0.
b. Assume that if f' = 0, then f is a constant function. Calculate f(0) and use it with part (a) to explain why cos2 x + sin2 x = 1.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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