Differential calcuals basic first year

[obaid]

Homework Statement

find dy/dx x^2 y-x=y^3

Homework Equations

Power rule, Product rule, chain rule, General power rule

The Attempt at a Solution

2xy+x^2 dy/dx -1=3y^2 dy/dx ( took the derivative of both sides)

2xy+x^2 dy/dx -1-3y^2 dy/dx=0 ( Subtracted the right side)

dy/dx(x^2-3y^2)=2xy-1 ( took out dy/dx)

dy/dx=2xy-1 / (x^2-3y^2) ( final answer)


Is this correct?

It looks much nicer on word

 

[Dick]

It would look much nicer in TeX too. But what you have is fine. Your algebra failed you in the third step. You are off by a '-' sign. How did 2xy-1 just move over to the right side?