Use implicit differentiation to find dy/dx. 5+2y^3=4x^2y^3+10x^2

Question

When I calculated the problem, I got x'=(6x^2-3)y^2/4xy^3+10x

Answer 1

Lana,

0 + (6y² )(dy/dx) = (8x)(dx/dx)(y³) + (4x²)(3y²)(dy/dx) + (20x)(dx/dx)

note the use of the product rule on the right side

then solve for dy/dx

Hope this helps--Andrew F.