Simple Equation of Derivative Calculation

$\mathrm{Find} \mathrm{the} \mathrm{derivative} \mathrm{of}: \mathrm{y}=3x^5-4x^3-\frac{5}{x^2}$

$\mathrm{Step} 1: \mathrm{Multiply} \mathrm{both} \mathrm{side} \mathrm{by} \frac{\mathrm{d}}{\mathrm{dx}}$
$\frac{dy}{dx}=\frac{d}{dx}(3x^5-4x^3-\frac{5}{x^2})$

$\mathrm{Remember}:$
$\left(1\right) \frac{\mathrm{d}}{\mathrm{dx}}\left({\mathrm{cx}}^{\mathrm{n}}\right)={\mathrm{cnx}}^{\mathrm{n}-1}$

$\mathrm{Final} \mathrm{Answer}: 15{\mathrm{x}}^4-12{\mathrm{x}}^2+\frac{10}{{\mathrm{x}}^3}$