Consider . List all critical numbers of . For each critical number, evaluate at that…

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

Problem

Consider

r(x)=x^{5}-5x^{3}

. List all critical numbers of

r

. For each critical number, evaluate

r''

at that point and state whether the point is a local maximum, a local minimum, or whether the second derivative test is inconclusive.