### Home > PC > Chapter 9 > Lesson 9.3.4 > Problem 9-145

9-145.

Let

*f*(*x*) =*x*^{3}. Homework Help ✎Find the average rate of change from

*x*= 3 to*x*= 5.Show that the average rate of change from

*x*= 4 to*x*= 4 +*h*is 48 + 12*h*+*h*^{2}.Find

*f*′(4), the instantaneous rate of change when*x*= 4.Show that the average rate of change from

*x*to*x*+*h*is 3*x*^{2}+ 3*xh*+*h*^{2}.Find

*f*′(*x*),the instantaneous rate of change for any value of*x*.