# How do you differentiate #y^2cos(x) = x/(x-y)#?

##### 1 Answer

See below.

#### Explanation:

In terms of differentiating the above equation,

If you differentiate both sides and fiddle a little bit, it's possible to extract

The left side will need to be differentiated with the product rule and the left with the quotient rule.

Furthermore, taking derivatives of functions of y occur as follows:

This can be simply remembered as just differentiating the function with respect to

Let's differentiate the left side first:

The right side:

Therefore:

Becomes:

We need to group all of the

Factorise by

Therefore (and this is a little messy):

Tidy it up a little bit: