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Popular >

f(x)=xe^x+e^x

Solution

f (x) = x e^{x} + e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{e ^{2}}

X Intercepts : (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 2, - \frac{1}{e ^{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{e ^{2}}, \infty)

Solution steps

Domain of

x e^{x} + e^{x} : - \infty < x < \infty

Range of

x e^{x} + e^{x} : f (x) \geq - \frac{1}{e ^{2}}

Axis interception points of

x e^{x} + e^{x} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x e^{x} + e^{x} :

Horizontal

: y = 0

Extreme Points of

x e^{x} + e^{x} :

Minimum

(- 2, - \frac{1}{e ^{2}})

Popular Examples

inverse oflaplace (-3s-20)/(s^2+256)inverse laplace

\frac{- 3 s - 20}{s ^{2} + 256}

integral of (2u)/(u^2+1)

\int \frac{2 u}{u ^{2} + 1} d u

166y^{''}+135y^'+1313y=36*0.7cos(x)

166 y^{^{''}} + 135 y^{^{'}} + 1313 y = 36 \cdot 0.7 cos (x)

y^{^{''}} + a y + b = 0

derivative of xy^2-y^3

\frac{d}{d x} (x y^{2} - y^{3})

Frequently Asked Questions (FAQ)

What is the f(x)=xe^x+e^x ?
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