Free Version
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

$\cfrac{2}{3}$