find the tangent plane for the given function:
would I have to transfer sin(xyz) to the right then differentiate?
You can differentiate both sides partially using implicit diferentiation. Eg. Assume z is implicitly defined as a function of y and x and differentiate both sides wrt x:
.
At (2, -1, 0) substitute x = 2, y = -1 and z = 0: .
Do similar to get at (2, -1, 0).
Remember that a vector normal to the tanget plane is .....