Local Linearity and Linearization

AP Calculus AB· difficulty 3/5

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For a concave-down function, the tangent line approximation L(x)L(x) is:

  • A

    An underestimate of f(x)f(x)

  • B

    An overestimate of f(x)f(x)

    check_circle
  • C

    Always equal to f(x)f(x)

  • D

    Always exact

Explanation

For concave-down ff, the tangent lies above ff, so LfL \geq f near the point of tangency.

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