Consider the curve and

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the curve

x=3\sin t

and

y=3\cos t

. What is the value of

\dfrac{dy}{dx}

at

t=\dfrac{\pi}{3}

? (a)

-\dfrac{1}{\sqrt{3}}

(b)

-\sqrt{3}

(c)

\sqrt{3}

(d)

\dfrac{1}{\sqrt{3}}

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