Question$$-5 \cdot x \cdot y+e^{x+y}=4$$ a. Find $\frac{\mathrm{d} y}{\mathrm{~d} x}$ in terms of $x$ and $y$. $$\frac{\mathrm{d} y}{\mathrm{~d} x}=$$ $a^{b}$ $\sin (a)$ $\frac{\partial}{\partial x} f$ : $\infty$ $\alpha$ $\Omega$ $\frac{5 y-e^{x+y}}{e^{x+y}-5 x}$ b. Find the value of $\frac{d y}{d x}$ at the point $P(\sqrt{5},-\sqrt{5})$. $$\left.\frac{\mathrm{d} y}{\mathrm{~d} x}\right|_{(\sqrt{5},-\sqrt{5})}=$$