MAT 21C Lecture Notes - Lecture 18: Partial Derivative, Quotient Rule, Power Rule
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MAT 21C Full Course Notes
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Announcements: vote, o ce hours: msb 3106 w 11/9 12-2. M (m 6= 0: power rule: lim (x,y) (x0,y0) [f (x, y)]n = ln, n a positive integer: root rule: lim (x,y) (x0,y0) L > 0. npf (x, y) = n l = l. 1/n , n a positive integer, and if n is even, we assume that. A function f (x, y) is continuous at the point (x0, y0) if: f is de ned at (x0, y0), 3. lim (x,y) (x0,y0) f (x, y) exists, and lim (x,y) (x0,y0) f (x, y) = f (x0, y0). A function is continuous if it is continuous at every point of its domain. Rule (two-path test for nonexistence of a limit). If a function f (x, y) has di erent limits along two di erent paths in the domain of f as (x, y) approaches (x0, y0), then f (x, y) does not exist. lim (x,y) (x0,y0)
