What is the f(x)=xe-(x^2)/8 ?

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f(x)=xe-(x^2)/8

f (x) = x e - \frac{x ^{2}}{8}

Domain : - \infty < x < \infty

Range : f (x) \leq 2 e^{2}

X Intercepts : (0, 0), (8 e, 0), Y Intercepts : (0, 0)

Inverse : - \frac{- 8 e + 64 e ^{2} - 32 x}{2}, - \frac{- 8 e - 64 e ^{2} - 32 x}{2}

Solution steps

Domain of

x e - \frac{x ^{2}}{8} : - \infty < x < \infty

Range of

x e - \frac{x ^{2}}{8} : f (x) \leq 2 e^{2}

Axis interception points of

x e - \frac{x ^{2}}{8} :

X Intercepts

: (0, 0), (8 e, 0),

Y Intercepts

: (0, 0)

Inverse of

x e - \frac{x ^{2}}{8} : - \frac{- 8 e + 64 e ^{2} - 32 x}{2}, - \frac{- 8 e - 64 e ^{2} - 32 x}{2}

(\frac{e ^{- x^{2}}}{x ^{3}})^{^{'}}

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} + 2 y = cos (2 t)

7 e

x \cdot \frac{d y}{d x} = 7 x e^{x} - y + 9 x^{2}

\int e^{3 θ} sin (2 θ) d θ