### Home > CALC > Chapter 5 > Lesson 5.5.1 > Problem5-156

5-156.

Find the derivative of each of the following functions:

1. $f(x) = x^2\operatorname{tan}(x)$

Use the Product Rule.

$f '(x) = 2x\operatorname{tan} x + x^2\operatorname{sec}^2 x$

1. $g ( x ) = \frac { 1 } { \operatorname { sin } x }$

1. $f(x) = (2x + 1)(3x − 1)^3$

Combine the Product Rule with the Chain Rule.

1. $g ( x ) = \operatorname { cos } \sqrt { x + 1 }$