(a) Use a CAS to differentiate the function and to simplify the result. (b) Where does the...

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(a) Use a CAS to differentiate the function and to simplify the result.

(b) Where does the graph of f have horizontal tangents?
(c) Graph f and f' on the same screen. Are the graphs consistent with your answer to part (b)?

x- x + 1 x* + x + 1 f(x) =
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