Question

find dy/dx such that dx/dy =dy/dx if \[y=x^3\]

Answer 1

I meant find x.

Answer 2

dy/dx=3x^2
x=y^(1/3)
dx/dy=(1/3)y^(-2/3)
dx/dy=dy/dx
(1/3)y^(-2/3)=3x^2
x^2=(1/9)y^(-2/3)
x=(1/3)y^(-1/3)