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Estimate the intervals of concavity to one decimal place by using a computer algebra system to compute and graph $ f" $.

$ f(x) = \frac{x^2 \tan^{-1} x+}{1 + x^3} $

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Graph of $f(x)$ is concave up in the interval $(-\infty,-1) \cup(0,0.7) \cup(2.5, \infty)$Graph of $f(x)$ is concave down in the interval $(-1,0) \cup(0.7,2.5)$

02:42

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 3

How Derivatives Affect the Shape of a Graph

Derivatives

Differentiation

Volume

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