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AP® Calculus AB-BC

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Moderate

Slope of Parametric Curve

APCALC-DN811H

What is the slope of the following parametric curve defined by $(x(t), y(t))$ at the point when $t=1$ if $x(t) = \cfrac{{2{t^2} - 3}}{2}$ and $y(t) = 3{t^3}$?

A

$\cfrac {2}{9}$

B

$\cfrac {9}{2}$

C

$-6$

D

$-\cfrac{1}{6}$