# How do you differentiate #sinx+xy+y^5=pi#?

##### 2 Answers

#### Explanation:

Differentiating both sides with respect to

Given:

Differentiate each term:

The first term is well known

The second term requires the use of the product rule:

The third term requires the use of the chain rule:

For the last term, we invoke the fact that the derivative of a constant is 0:

Move all of the terms **NOT** containing

Factor out

Divide both sides by the leading coefficient: