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Local Linearity and Linearization

AP Calculus AB· difficulty 2/5

For f(x)=exf(x) = e^x near x=0x = 0, the tangent-line approximation L(x)L(x) equals

  • A

    11

  • B

    xx

  • C

    1+x1 + x

    check_circle
  • D

    e⋅xe \cdot x

Explanation

f(0)=1f(0) = 1, f′(0)=1f'(0) = 1. L(x)=1+xL(x) = 1 + x.

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AP Calculus AB · Local Linearity and Linearization Practice Question | Acemy