Given that $3{{x}^{2}}+3=\ln 5x{{y}^{2}}$, find an expression of \(\frac{\mathrm{d}y}{\mathrm

Question

Given that $3{{x}^{2}}+3=\ln 5x{{y}^{2}}$, find an expression of $\frac{\mathrm{d}y}{\mathrm{d}x}$.

Accepted Answer

$\frac{y(6x^2-1)}{2x}$

Techniques of Differentiation - Implicit Differentiation