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Find a function $\Phi(x,y)$ such that:

$$\Phi_x = yx^{y-1}$$$$\Phi_y = x^y$$

$\Phi(x,y) = x^y$

$\Phi(x,y) = y(y-1)x^{y-2}$

$\Phi(x,y) = \frac{x^{y+1}}{y+1}$

$\Phi(x,y) = x^y \ln x$

$\Phi(x,y)$ does not exist.