Let the curve be defined by and for real

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

Problem

Let the curve be defined by

x=t^{2}+1

and

y=2t^{3}-t

for real

t

. Determine the value of

\dfrac{dy}{dx}

t=1

. (a)

5

(b)

\dfrac{2}{5}

(c)

\dfrac{5}{2}

(d)

2