Let f (x) = 12x^5 + 15x^4 ? 40x^3 + 1, defined on R. (a) Find...

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Let f (x) = 12x^5 + 15x^4 ? 40x^3 + 1, defined on R.
(a) Find the intervals where f is increasing, anddecreasing.
(b) Find the intervals where f is concave up, and concavedown. (c) Find the local maxima, the local minima, and theinflection points.
(d) Find the Maximum and Minimum Absolute of f over [?2,2].

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