### Home > APCALC > Chapter 7 > Lesson 7.2.4 > Problem7-89

7-89.

Differentiate each of the following functions.

1. $y =\frac { ( 3 x ^ { 2 } - 2 ) ^ { 3 } } { - 2 }$

This is NOT a Quotient Rule problem!

$\text{Before differentiating, rewrite the equation as } \\ y=-\frac{1}{2}(3x^{2}-2)^{3}.$

1. $y = 6^{(3x^2 - 2)^3}$

$= 18\ln(6)\cdot x(3x^2 − 2)^2 \cdot 6^{(3x^2 - 2)^3}$

1. $(2y)^2 − \cos(x^5) = 9$

Use implicit differentiation.