Calculate the following derivatives using the Product Rule. a. d/dx (sin 2 x) b. d/dx (sin 3
Question:
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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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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