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Connecting Differentiability and Continuity

AP Calculus AB· difficulty 2/5

At the V-shape corner, the function is

  • A

    A local maximum

  • B

    Differentiable

  • C

    Discontinuous

  • D

    Continuous but not differentiable

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Explanation

Corners (kinks) are continuous but the left and right derivatives differ, so f′f' doesn't exist there.

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