A function has derivative for all real

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A function ff has derivative f′(x)=(x+2)2/3(x−1)f'(x)=(x+2)^{2/3}(x-1) for all real xx. Identify every open interval on which ff is increasing.

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