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The figure shows ƒ', the derivative of a function ƒ.
The domain of the function ƒ is the interval [0, 20].
(a) For what values of x, 0 < x < 20, does ƒ have a relative maximum? Justify your answer.
(b) For what values of x is the graph of ƒ concave down? Justify your answer.
(c) If ƒ(0) = 10, sketch a graph of the function ƒ on axes similar to the ones provided below. List the coordinates of all critical points and inflection points.
Solution
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