# What is the derivative of #y = x sin (5/x)#?

##### 1 Answer

Sep 25, 2016

#### Answer:

Let

#### Explanation:

The product rule is:

To apply the chain rule on h'(x), we let

where

The chain rule says to multiply u'(x) and h'(u):

Reversing the u substitution:

Substituting the above into the product rule: