Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Preliminary Questions - Page 139: 2

Answer

(a) covered; can differentiate (b) not covered; can not differentiate yet (c) not covered; can not differentiate yet

Work Step by Step

a) The function $ y=3\cos x \cot x $ can be differentiated by the product rule (covered in 3.3) and using derivatives of trigonometric functions (covered in this section). (b) The function $ y=\cos x^2 $ can be differentiated by the chain rule. However, we have not yet covered the chain rule (covered in 3.7) (c) We have not yet covered how to derive $2^x$ (covered in 7.1).
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