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Connecting Differentiability and Continuity

AP Calculus AB· difficulty 2/5

Where is f(x)=∣x∣f(x) = |x| NOT differentiable?

  • A

    x=0x = 0

    check_circle
  • B

    x=1x = 1

  • C

    Nowhere

  • D

    Everywhere

Explanation

The graph has a corner at x=0x = 0; left and right derivatives differ (−1-1 vs +1+1).

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