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Local Linearity and Linearization

AP Calculus AB· difficulty 2/5

Linearization gives a good approximation of f(x)f(x) when

  • A

    xx is close to the base point

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  • B

    xx is far from the base point

  • C

    Always exactly equal

  • D

    ff has a vertical tangent

Explanation

Tangent-line approximation is best near the base point and deteriorates as xx moves away.

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