CPM Homework Help : CALC Problem 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.

$\frac { d } { d y } [ \frac { e ^ { y } } { y } ]$
Hint (a):
Use the Quotient Rule.

$\frac { d } { d x } [ \sqrt { \operatorname { sin } x } ]$
Hint (b):
Use the Chain Rule.

$\frac { d } { d \theta } [ 5 \operatorname { cos } ^ { 2 } \theta + 5 \operatorname { sin } ^ { 2 } \theta ]$
Hint (c):
$5(\operatorname{cos}^2(x) + \operatorname{sin}^2(x)) =$ ?