Question

Differentiate w.r.t. $x$:

$\frac{x}{y^3}=1$

Answer 1

$\frac{x}{y^3}=1$

$x=y^3$

Differentiating w.r.t x, we get,

$1=3y^2\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{1}{3y^2}$