Given that ${{e}^{5xy}}+11\tan (x)={{y}^{2}}$, find an expression of \(\frac{\mathrm{d}y}{\ma

Question

Given that ${{e}^{5xy}}+11\tan (x)={{y}^{2}}$, find an expression of $\frac{\mathrm{d}y}{\mathrm{d}x}$.

Accepted Answer

$\frac{-11\sec {{(x)}^{2}}-5{{e}^{5xy}}y}{5{{e}^{5xy}}x-2y}$

Techniques of Differentiation - Implicit Differentiation