# Question #9c03c

##### 2 Answers

Dec 15, 2017

#### Explanation:

The chain rule states that:

Setting

And since

Dec 15, 2017

#### Explanation:

#"differentiate using the "color(blue)"chain rule"#

#"given "y=f(g(x))" then"#

#dy/dx=f'(g(x))xxg'(x)#

#y=tan(2x+3)#

#rArrdy/dx=sec^2(2x+3)xxd/dx(2x+3)#

#color(white)(rArrdy/dx)=2sec^2(2x+3)#