For , the function models the concentration of a substance. Determine the positive…

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

Problem

For

x>0

, the function

f(x)=x^{2}e^{-x/2}

models the concentration of a substance. Determine the positive value of

x

at which

f

attains its maximum.