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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-142


Find such that is differentiable at

In order to prove that is differentiable at , you must demonstrate that the derivatives agree from the left and right.

But do not forget that 'differentiablity implies continuity'. In other words, if the function is not continuous at , then it CANNOT be differentiable (even if the derivatives agree). So use the Three Conditions of Continuity to demonstrate that is continuous at .

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