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Local Linearity and Linearization

AP Calculus AB· difficulty 3/5

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For a concave-up function, the tangent line approximation is:

  • A

    Inconsistent

  • B

    Exact

  • C

    An underestimate

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  • D

    An overestimate

Explanation

Concave-up: tangent line lies below ff, so L≤fL \leq f giving an underestimate.

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