# Concavity

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Where on the interval [0, 2π] is the function f (x) = x - sin x concave up?

(π=pi)

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#### Solution Preview

To determine if a graph is concave up or down we look at the second derivative.

f(x) = x - sin x

f'(x) = 1 - ...

#### Solution Summary

This shows how to determine where a function is concave up.

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