### Home > CALC > Chapter 7 > Lesson 7.2.4 > Problem7-97

7-97.

Find $\frac { d y } { d t }$ for each of the following functions.

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

This is NOT a Quotient Rule problem!

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

1. $y = 6^{(3x^2 − 2)^3}$

$= 18\operatorname{ln}(6)x(3x^2 − 2)^2\ 6^{(3x2 − 2)3}$

1. $(2y)^2 −\operatorname{cos}(x^5) = 9$

Use implicit differentiation.