Determine the extreme points of the following functions. (a) f (x) = x 3 + x (b)

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Determine the extreme points of the following functions.

(a) f (x) = x3 + x

(b) f (x) = x4 + x2

(c) f (x) = 4x4 − x2 + 5

(d) f (x) = (3x − 2)2 (2x − 3)2

(e) f (x) = 6x5 − 4x3 + 10

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