We will use the following definition for continuity of a function. A function is continuous at c if all three of the following holds: 0%. I. lim f (x) ... |
Write an example of a function which is continuous everywhere but not differentiable exactly at 5 points. 6. Show that the function f defined as. 2. 3. 2,0. |
Pick the one which is true always. ( a ) All continuous functions are differentiable. ( b ) All differentiable functions are functions are continuous. |
Differentiability: The derivative exists for each point in the domain. The graph must be a smooth line or curve for the derivative to exist. |
Page 1. Mathematics-XII. Continuity and Differentiability. Worksheet. 1. Differentiate each of te following with respect to x :. |
Example: Discuss the continuity and differentiability of the function f(x) = x 1/³. Continuous everywhere not diff. at x = 0. 4. Example: Find if f(x) is ... |
(a) If a function is differentiable, then it is continuous. (b) If a function is continuous, then it is differentiable. (c) If f is continuous on [−1, ... |
INDIAN SCHOOL DARSAIT. Class XII. Mathematics Worksheet. Worksheet # 7 Differentiability # 1. (Chapter – 5: Continuity & Differentiability). Page 1 | 3. |
Objective: To determine when a function is continuous or differentiable. Directions: Following directions on the TI-nspire to determine when the given functions. |
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