Let R be the set of real numbers and consider the function f : R ? R defined by f(x) = x^3 - 3x^2 + 5x + 1

a. Find all critical points of the function f. (5 marks)

b. Use the Second Derivative Test to classify the critical points as local minima, local maxima, or inflection points. (10 marks)

c. Sketch the graph of the function f and label all critical points and inflection points. (8 marks)

Answer rating: 100% (QA)

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