Consider the function

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

Problem

Consider the function pp, twice differentiable on (−3,5)(-3,5) except at x=1x=1, where p′′p'' is undefined. The second derivative is given by p′′(x)=(x−2)2(x+1)x−1,x≠1.p''(x)=\frac{(x-2)^{2}(x+1)}{x-1}, \quad x\neq 1. List all values of xx in the interval (−3,5)(-3,5) at which pp has an inflection point.

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