### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem 6-143

6-143.

Humberto thinks the second derivative has something to do with how well a line will approximate a curve. He thinks that a line will better approximate a curve at (*a*, *f*(*a*)) if, for example, *f* ″(*a*) = 0.85 than if *f* ″(*a*) = 5. Is he correct? Why or why not? Use a graph to justify your answer. Homework Help ✎

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