If and , then at , the value of is equal…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

x = \sin t \cos 2t

and

y = \cos t \sin 2t

, then at

t = \frac{\pi}{4}

, the value of

\frac{dy}{dx}

is equal to (a) -2 (b) 2 (c)

\frac{1}{2}

(d)

-\frac{1}{2}

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of parametric functions
Continuity and Differentiability

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