The function is defined for all real

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The function y(x)=2sin⁡xcos⁡xy(x)=2\sin x\cos x is defined for all real xx. (i) Differentiate yy with respect to xx. (ii) Simplify your result from part (i). (iii) Find all values of xx in the interval (0,2π)(0,2\pi) for which dydx=0\dfrac{dy}{dx}=0.

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