Consider on the interval

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

Problem

Consider

f_m(x)=x^{3}-3mx^{2}

on the interval

[0,4]

. Find all real numbers

m

for which the absolute minimum of

f_m

occurs at an interior critical point rather than at an endpoint.