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Consider the polynomial function f ( x ) = x 5 3 x 3 + 4 x . (a)Find the intervals on which f is

Consider the polynomial function

f(x) = x5 3x3 + 4x.

(a)Find the intervals on which f is increasing. (Hint: Show

x = 1

is a critical number. Enter your answer as a comma-separated list of intervals.)

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