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