### Home > CALC > Chapter 8 > Lesson 8.2.3 > Problem8-88

8-88.

Examine the derivatives below. Consider the multiple tools available for finding derivatives and use the best strategy. After finding each derivative, write a short description of your method.

1. $\frac { d } { d y } [ \frac { e ^ { y } } { y } ]$

Use the Quotient Rule.

1. $\frac { d } { d x } [ \sqrt { \operatorname { sin } x } ]$

Use the Chain Rule.

1. $\frac { d } { d \theta } [ 5 \operatorname { cos } ^ { 2 } \theta + 5 \operatorname { sin } ^ { 2 } \theta ]$

$5(\operatorname{cos}^2(x) + \operatorname{sin}^2(x)) =$ ?