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`f(x) = x + 2cos(x) [0, 2pi]` Find the points of inflection and discuss the concavity of the graph of the function.

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Find the inflection points and discuss the concavity for the function f(x)=x+2cos(x) on the interval [o,2pi]:

Inflection points are found when the second derivative is zero (and has changed sign.)

f'(x)=1-2sin(x)

f''(x)=-2cos(x)

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