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Popular >

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

Solution

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

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Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Popular Examples

integral of x^3inx

\int x^{3} in x d x

(\partial)/(\partial {Q)}({Q}^2)

\frac{\partial}{\partial Q} (Q^{2})

derivative of sin(x^2+cos(x^2))

\frac{d}{d x} (sin (x^{2}) + cos (x^{2}))

integral of 1/(4x+5)

\int \frac{1}{4 x + 5} d x

integral of 1 sqrt(tan(x))

\int \frac{d}{1} tan (x) d x

Frequently Asked Questions (FAQ)

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