### Home > APCALC > Chapter 6 > Lesson 6.4.2 > Problem 6-136

6-136.

Humberto thinks the second derivative has something to do with how well a tangent line will approximate a curve. For example, he is comparing two functions, and

*,*

*and he notices that at a certain*

*,*

*and*

*. However, the second derivatives are different,*

*and*

*. Which tangent line gives a better approximation of its actual function near*

*? Use a graph to justify your answer. .*

Use the eTool below to visualize the problem.

Click the link at right for the full version of the eTool: *Calc 6-136 HW eTool*