?Let Is f differentiable at 1? Sketch the graphs of f and f’

Chapter 2, Problem 75

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QUESTION:

Let

Is f differentiable at 1? Sketch the graphs of f and f’.

Questions & Answers

QUESTION:

Let

Is f differentiable at 1? Sketch the graphs of f and f’.

ANSWER:

Step 1 of 3

For  to be differentiable at ,

Then

(1) Limit from the left = Limit from the right = Functional value

(2) Derivative from the left = Derivative from the right

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