For in the closed interval

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

Problem

For xx in the closed interval [−3,4][-3,4], the derivative of a differentiable function pp is given by p′(x)=(x+3)(x−2)(x+1)2.p'(x)=\frac{(x+3)(x-2)}{(x+1)^2}. Determine every subinterval of [−3,4][-3,4] on which pp is increasing.

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