Calculate the following derivatives using the Product Rule. a. d/dx (sin 2 x) b. d/dx (sin 3

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Calculate the following derivatives using the Product Rule.

a. d/dx (sin2 x)

b. d/dx (sin3 x)

c. d/dx (sin4 x)

d. Based on your answers to parts (a)–(c), make a conjecture about d/dx (sinn x), where n is a positive integer. Then prove the result by induction.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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