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Derivatives of Trig Functions

AP Calculus AB· difficulty 3/5

lim⁡h→0cos⁡(0+h)−cos⁡0h\displaystyle\lim_{h\to 0}\dfrac{\cos(0+h) - \cos 0}{h} equals

  • A

    −1-1

  • B

    00

    check_circle
  • C

    Does not exist

  • D

    11

Explanation

This is f′(0)f'(0) for f(x)=cos⁡xf(x) = \cos x. f′(x)=−sin⁡xf'(x) = -\sin x; −sin⁡(0)=0-\sin(0) = 0.

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