Calculate the following derivatives using the Product Rule a d dx (sin 2 x) b d dx (sin 3 x) c d dx (sin 4 x) d Based on your answers to parts (a)(c), make a conjecture about d dx (sin n x), where n is a positive integer Then prove the result by induction ...

a ddx sin 2 x sinx cos x cos x sin x 2sinx cos x b ...

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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Question Posted: Feb 08, 2019 12:27 PM

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

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a ddx sin 2 x sinx cos x cos x sin x 2sinx cos x b ...View the full answer

Calculus Early Transcendentals

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