Question
Let R be the set of real numbers and consider the function f : R ? R defined by f(x) = x^3 - 3x^2 +
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)
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Introduction to graph theory
Authors: Douglas B. West
2nd edition
131437372, 978-0131437371
