# How do you differentiate # y =cos(3x+7) # using the chain rule?

##### 1 Answer

Jun 21, 2016

#### Explanation:

The chain rule:

Essentially, you take the derivative of whatever is on the outside like normal then multiply it by whats on the inside of the trig function.

The derivative of

so taking the derivative of the outside gives us:

then we take the derivative of the inside:

The derivative of the inside is then multiplied by our first derivative: