67. (a) Find the partial derivatives of the function
$f(x, y) = \frac{x^2 - y^2}{x^2 + y^2}$
(b) Find the gradient of the function
$h(x, y) = \arctan(\frac{y}{x})$
(c) Given $f(x, y, z) = \sin(xy)$ and $g(x, y, z) = e^{xz + y^2}$, find the gradient of the
product $h(x, y, z) = f(x, y, z)g(x, y, z)$.
Hint: Use product rule for gradients.