CPM Homework Help : CALC Problem 5-15

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

Hint (a):

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?

Hint (b):

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

Hint (c):

Use the Power Rule.