A curve has the equation x^2+2y^2=3x, by differentiating implicitly find dy/dy in terms of x and y.

We shall differentiate each term in the equation with respect to x.

dy/dx (x²) = 2x

dy/dx (2y²) = 4y dy/dx

dy/dx (3x) = 3

So we now have the equation 2x + 4y dy/dx =3

We now have to rearrange to get in the form dy/dx

dy/dx= (3-2x)/4y