For , the volume (in cubic centimeters) of a solid depends on a single dimension…

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

Problem

For 0<x<100<x<10, the volume (in cubic centimeters) of a solid depends on a single dimension xx according to V(x)=800x−4x3.V(x)=800x-4x^{3}. Calculate the value of xx at which VV attains its maximum on this interval.

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