graph-the-function-fx3ex23fx3e-fracx23fx3e3x2

Question

Graph the function $f (x) = 3 e^{- \frac{x^{2}}{3}}$ .

$f^{'} (x) = - 2 x e^{- x^{2} / 3}$

$f^{''} (x) = e^{- x^{2} / 3} (\frac{4 x^{2}}{3} - 2)$

Accepted Answer

Graph of the function f(x)=3e^(-x²/3), showing a peak at y=3 and approaching y=0 as x moves away from 0.

Answer

Graph of the function f(x)=3e^(-x²/3), showing a curve with a minimum at x=0 and approaching y=0 as x moves away from zero.

Answer

$Graph of the function f(x)=3e^{-x^2/3}, showing a blue curve with a maximum at (0, -4) and extending downwards.$

Answer

Graph of the function f(x)=3e^(-x²/3), showing a blue curve with a minimum at (0, 3) on a grid.

Graph the function f(x)=3e−x23f(x)=3e^{-\frac{x^2}{3}}. f′(x)=−2xe−x2/3f^{\prime}(x)=-2xe^{-x^2/3}f′′(x)=e−x2/3(4x23−2)f^{\prime\prime}(x)=e^{-x^2/3}\left(\frac{4x^2}{3}-2\right)