### Home > APCALC > Chapter 8 > Lesson 8.2.3 > Problem8-89

8-89.

Examine the derivatives below. Consider the multiple tools available for finding derivatives and use the best strategy for each part. Evaluate each derivative and briefly describe 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. $\frac { d } { d \theta } [ 5 \operatorname { cos } ^ { 2 } ( \theta ) + 5 \operatorname { sin } ^ { 2 } ( \theta ) ]$

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