graph-the-function-fx3ex23fx3e-fracx23fx3e3x2

Question

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

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

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

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)=3e−3x2.f′(x)=−2xe−x2/3f'(x) = -2x e^{-x^2/3}f′(x)=−2xe−x2/3f′′(x)=e−x2/3(4x23−2)f''(x) = e^{-x^2/3} \left(\frac{4x^2}{3} - 2 \right)f′′(x)=e−x2/3(34x2−2)