Assuming 3x^3+10y27xy=0 defines y as a differentiable function ofx, use the theorem dydx=F^x/F^y to find dy/dx at the point (1,1).

If the equation F(x,y,z) =0 determines z as a differentiable function of x and y, then, at the points where F, #0, the following equations are true. dz Fy dz F. and F - Use these equations to find the values of dz / dx and dz / dy at the given point. z" - xy + 3yz + y" - 88 =0, (2,4,2)