Question

How do you find the derivative of z = 4x + e^(xy) with respect to x and y?

Answer 1

dz/dx = 4 + ye^(xy)

Answer 2

dz/dy = xe^(xy)

Answer 3

when you differentiate with respect to x, you treat y as a constant, so you can say let y=2 then z= 4x+e^(2x). Now differentiate that.

Answer 4

and the same for the other way around.

Answer 5

Thanks! This really helped!