If sin (xy) + y/x = x^2 - y^2, find dy/dx.

Question

If sin (xy) + \(\cfrac{y}{\mathrm x}\) = x² - y², find \(\cfrac{dy}{d\mathrm x} \).

Answer 1

We are given with an equation sin(x y) +\(\cfrac{y}{\mathrm x}\)= x² – y², we have to find \(\cfrac{dy}{d\mathrm x} \) by using the given equation, so by differentiating the equation on both sides with respect to x, we get,