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Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 ? 9) f''(x)...

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Basic Math

Suppose the first and second derivatives of f(x) are: f' (x) =4x(x^2 ? 9) f''(x) = 12(x^2 ? 3).

(a) On what interval(s) is f(x) increasing and decreasing?

(b) On what interval(s) is f(x) concave up and concave down?

(c) Where does f(x) have relative maxima? Minima? Inflectionpoints?

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