### Home > CALC > Chapter 6 > Lesson 6.3.1 > Problem6-83

6-83.

Examine the following derivatives. For part (a), assume $y$ is a function of $x$. Consider the multiple tools available for finding derivatives and use the best strategy. After finding each derivative, list the tools you used.

1. $\frac { d } { d x } ( 13 x ^ { 3 } y )$

Use the Product Rule.

1. $\frac { d } { d x } ( \operatorname { tan } ^ { - 1 } ( 2 ^ { x } ) )$

1. $\frac { d } { d x } ( e ^ { x ^ { 2 } - 2 x } )$

Use the Chain Rule.