Suppose f(x) = a cos 2x + b sin2 x where b < 2a, 0 6 x 6 2. a Show that f0 (x)=(b 2a)

Chapter 25, Problem 53

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Suppose f(x) = a cos 2x + b sin2 x where b < 2a, 0 6 x 6 2. a Show that f0 (x)=(b 2a) sin 2x. b Find the maximum value of f0 (x) and when this maximum occurs. c Find the turning points of y = f(x) on 0 6 x 6 2.

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