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AP® Calculus AB-BC

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Moderate

Tangent Line Equation

APCALC-GXVRWF

Find the equation of the line tangent to the parametric curve given:

$x( t ) ={ -t }^{ 2 }+4t+12$
$y( t ) =\cfrac{1}{t+1}$

...when $t=-2$.

A

$y+1=-\cfrac{1}{8}x$

B

$y-1=-\cfrac{1}{8}x$

C

$y-1=\cfrac{1}{8}x$

D

$y+1=8x$