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9) A function that is continuous at x = c must be differentiable at x =c. 10) A function that is differentiable x = c must be continuous at x = c.

9) A function that is continuous at x = c must be differentiable at x =c. 10) A function that is differentiable x = c must be continuous at x = c.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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TRUE OR FALSE

 

9) A function that is continuous at x = c must be differentiable at x =c.

10) A function that is differentiable x = c must be continuous at x = c.

11) A function that is not continuous at x = c must not be differentiable at x = c.

12) A function that is not differentiable at x = c must not be continuous at x = c.

9) A function that is continuous at x c must be differentiable at x =c. 10) A function that is differentiable x = c must be continuous at x = c. 11) A function that is not continuous at x = c must not be differentiable at x = c. 12) A function that is not differentiable at x = c must not be continuous at x = c. %3D
Transcribed Image Text:9) A function that is continuous at x c must be differentiable at x =c. 10) A function that is differentiable x = c must be continuous at x = c. 11) A function that is not continuous at x = c must not be differentiable at x = c. 12) A function that is not differentiable at x = c must not be continuous at x = c. %3D
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