Question

What is the derivative of `tan(x − y) = x`?

Answer 1

`dy/dx=x^2/(1+x^2)`.

Explanation:

`tan(x-y)=x`

`rArr x-y=arctanx`

`rArr x-arctanx=y`

`rArr dy/dx=1-1/(1+x^2)=x^2/(1+x^2)`.