Question

Differentiate 3yx^2=x^3

Answer 1

implicit diff right? wrt x
\[3(2xy+x^2y')=3x^2\]solve for y'
algebra from here on in

Answer 2

\[2xy+x^2y'=x^2\]
\[x^2y'=x^2-2xy\]
\[y'=\frac{x^2-2xy}{x^2}=\frac{x-2y}{x}\] check my algebra because it is way early

Answer 3

Good work.