MT202 Multivariable Calculus Study Guide
Recall from single variable calculus: if we have a function, for example, , we must consider both
its derivative and integral.
Note that differentiation and integration are inverse operations.
(x, y) in Q. Consequently, there is a function (x, y) u(x, y) such that u x (x, y) =
2. 2x sin(x 2 y 2 )/ y (x, 2y = 2y = y).y y 3 )/ x, we conclude that F(x, y) is not
Since (x 2 y) and u = y) = sin(x 2 (2x
closed. October 20, implies that u(x, y)