Defining the Derivative and Using Derivative Notation

AP Calculus AB· difficulty 3/5

Use the definition to find f(2)f'(2) for f(x)=x2+1f(x) = x^2 + 1.

  • A

    22

  • B

    55

  • C

    33

  • D

    44

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Explanation

limh0((2+h)2+15)/h=lim(4h+h2)/h=4\lim_{h\to 0}((2+h)^2+1 - 5)/h = \lim (4h+h^2)/h = 4.

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