Question

if z^3xy+4xz-sinxy=2xy+4yz^2 implicitly defines y as a function of x and z, find Fy/Fz

Answer 1

\[z^3xy+4xz-(\sin x)y=2xy+4yz^2\]
or\[z^3xy+4xz-\sin (xy)=2xy+4yz^2~~?\]

Answer 2

the second one

Answer 3

One more question, do you mean \(\dfrac{F_y}{F_z}\) to mean the ratio of the function's partial derivatives? or the derivative of y with respect to z?

Answer 4

derivative of y with respect to z

Answer 5

Do you still need help with this?

Answer 6

no. I figured it out! Thanks though!