For with domain

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

Problem

For

f''(x)=\dfrac{x+2}{(x-1)^{3}}

with domain

x\neq 1

, determine (i) the interval(s) on which the graph of

f

is concave up, and (ii) the

x

-coordinate(s) of any point(s) of inflection.