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5-15.

Write the second derivative with respect to x for each function. Homework Help ✎

  1. y = (x – 10)2

    This is the equation of a parabola. The 2nd derivative represents the concavity of the original equation.
    Is y = (x −10)² concave up, concave down or neither?

  2. g(x) = –5x + 10

    g(x) is a linear equation.
    g ''(x) represents its concavity.
    Is a straight line concave up, concave down or neither?

  3. y = 5x8 – 3x–8

    Use the Power Rule.