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5-15.
  1. Find the second derivative with respect to x for each function. Homework Help ✎

    1. y = (x − 10)2

    2. g(x) = −5x + 10

    3. y = 5x8 − 3x−8

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?

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

Use the Power Rule.