10.6 Find the example of a function f(x) which is continuous at every point of the interval (0, 1), but is not differ- entiable at every point of (0, 1). Read about the construction of the function, which is differentiable at every point of (0, 1) but whose derivative is discontinuous at every point of (0, 1).

10.6 Find the example of a function f(x) which is continuous at every point of the interval (0, 1), but is not differ- entiable at every point of (0, 1). Read about the construction of the function, which is differentiable at every point of (0, 1) but whose derivative is discontinuous at every point of (0, 1).

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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