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

5-15.

Find the second derivative with respect to

*x*for each function. Homework Help ✎*y*= (*x*− 10)^{2}*g*(*x*) = −5*x*+ 10*y*= 5*x*^{8}− 3*x*^{−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.