Let for . Determine the -coordinate of the absolute minimum of on and state the…

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

Problem

Let

f(x)=x^{4}-4x^{3}+1

for

0\le x\le 5

. Determine the

x

-coordinate of the absolute minimum of

f

[0,5]

and state the minimum value, giving a brief justification.