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

5-15.

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

*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?*g*(*x*) = –5*x*+ 10*g*(*x*) is a linear equation.*g*''(*x*) represents its concavity.

Is a straight line concave up, concave down or neither?*y*= 5*x*^{8}– 3*x*^{–8}Use the Power Rule.