x2-7x2y3+6=y2-2xy find dy/dx at the point (-2,5)

Answer 1

take the implicit derivative.

2x Dx -7y^3*2x Dx-7x^2*3y^2 Dy=2yDy-2xDy-2yDx

Dx(2x-14xy^3+2y)=Dy(2y-2x+21y^2)

solve for Dx/Dy, then put in the point (-2,5) and solve. check my work.