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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, $f$ and $g$, and he notices that at a certain $x = a$, $f(a) = g(a)$ and $f^\prime(a) = g^\prime (a)$ . However, the second derivatives are different, $f^{\prime\prime}(a) = 0.85$ and $g^{\prime\prime}(a) = 5$. Which tangent line gives a better approximation of its actual function near $x = a$? Use a graph to justify your answer. 6-136 HW eTool (Desmos). Homework Help ✎

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