For the curve given by and

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the curve given by

x=t^{2}+1

and

y=t^{3}-t

, find

\dfrac{dy}{dx}

at

t=1

. (a)

2

(b)

\dfrac{1}{2}

(c)

1

(d)

\dfrac{2}{3}

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