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AP® Calculus AB-BC

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Moderate

Differentiate Implicitly

APCALC-UDKPXM

$${ x }^{ \frac { 2 }{ 3 } }+{ y }^{ \frac { 2 }{ 3 } }=13$$

Consider the curve defined by the equation given above.

Find the slope of a line tangent to this curve at the point $(8,27)$.

A

$-\cfrac{3}{2}$

B

$-\cfrac{2}{3}$

C

$-\cfrac{8}{27}$

D

$\cfrac{4}{9}$