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2. Find the intervals where each of the following functions is (i) increasing and decreasing, (ii) concave up and concave down. Deduce the locations of
2. Find the intervals where each of the following functions is (i) increasing and decreasing, (ii) concave up and concave down. Deduce the locations of the local extrema and points of inflection (if any): (a) f(a) = 2x3 - 9x2 - 108x + 2 (b) g(x) = (1 -2x)3 (c) h(ac) = 23 - 3x2 +3
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