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For each of the following functions show whether it is

For each of the following functions, show whether it is convex, concave, or neither.

(a) f (x) = 10x – x2

(b) f (x) = x4 + 6x2 + 12x

(c) f (x) = 2x3 – 3x2

(d) f (x) = x4 + x2

(e) f (x) = x3 + x4

(a) f (x) = 10x – x2

(b) f (x) = x4 + 6x2 + 12x

(c) f (x) = 2x3 – 3x2

(d) f (x) = x4 + x2

(e) f (x) = x3 + x4

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