Determine whether the following statements are true and give an explanation or counterexample. a d/dx (sin 2

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Determine whether the following statements are true and give an explanation or counterexample.

a d/dx (sin2 x) = cos2 x.

b. d2/dx2 (sin x) = sin x.

c. d4/dx4 (cos x) = cos x.

d. The function sec x is not differentiable at x = π/2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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