Describe several ways in which a function can fail to be differentiable. Illustrate with sketches.

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Let f and g be differentiable and continuous functions for all real numbers such thatf(x) = 3x^3 9x^2 2, andg(x) = ((1)/(2))x^4 2x^3 1.Note: need to show work completely and explain your work including the solutions as well.1. Determine the intervals where the functions f and g are increasing and decreasing.Please explain.2. Determine the concavity of the functions f and g. Please explain.

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Answered: What is the rule for calculating the derivative of a composition of two differentiable functions? How is such a derivative evaluated? Give examples. | bartleby

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