Question

Consider the functions A(x, y) = x^2y + xy − 3xy^2, and B(x, y) = xe^xy − y

(a) Calculate the x derivative of A, or Ax.
(b) Calculate the y derivative of A, or Ay.
(c) Calculate the x derivative of B, or Bx.
(d) Calculate the y derivative of B, or By.

Answer 1

Go back and add YOUR THOUGHTS about your previous posts before you continue.

Answer 2

partial derivatives are just like normal ones, except all other variables are treated like constants. For example,

B(x, y) = xe^(xy) − y
Bx = e^(xy) + xye^(xy)
there is no product rule involving e^(xy), since y is just a constant

By = x*xe^(xy) - 1