### Home > APCALC > Chapter 5 > Lesson 5.1.2 > Problem5-15

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.