Question

Find max and min

Answer 1

\[f(x)=x ^{2}e ^{\frac{ -x }{ 2}}\] [-1,8]

Answer 2

Have you considered a 1st Derivative?

Answer 3

how would i find the derivative of e^-x/2

Answer 4

You would use the chain rule.

\(\dfrac{d}{dx}e^{x} = e^{x}\)
\(\dfrac{d}{dx}e^{2x} = 2e^{2x}\)
\(\dfrac{d}{dx}e^{(-½)x} = (-½)e^{(-½)x}\)

Answer 5

so it would be (2x)(-1/2)e^(-1/2)x