### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem6-143

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, $f^{\prime\prime}(a) = 0.85$ than if $f^{\prime\prime}(a) = 5$. Is he correct? Why or why not? Use a graph to justify your answer.)

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