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2. (18 pts) Demonstrate knowledge of the First Derivative Tests. For the function f(x) = xe' , interval (-4,2), determine exactly: a. f'(x) and all

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2. (18 pts) Demonstrate knowledge of the First Derivative Tests. For the function f(x) = xe' , interval (-4,2), determine exactly: a. f'(x) and all critical numbers of f. b. Intervals of increasing/decreasing; c. local extrema using the First Derivative Test d. f"(x) and all critical numbers of f "; e. Intervals of concavity

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