Equivalence of partial derivatives
Task number: 3197
Verify the equivalence of \( \frac{\partial^2 f(x,y)}{\partial x \partial y} = \frac{\partial^2 f(x,y)}{\partial y \partial x} \) for the following functions:
Variant 1
\(f(x, y) = x^3 + 4xy - y^2\)
Variant 2
\(f(x, y) = x^{y^2}\)
