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Popular >

f(x)=xe^{2x}

Solution

f (x) = x e^{2 x}

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

x e^{2 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x e^{2 x} :

Horizontal

: y = 0

Extreme Points of

x e^{2 x} :

Minimum

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

Popular Examples

limit as x approaches 1 of x^3-4x+1

x \to 1 lim (x^{3} - 4 x + 1)

integral of (x^3)/(\sqrt[9]{x^2+3)}

limit as x approaches 0 of (x+5)e^{1/x}

x \to 0 lim ((x + 5) e^{\frac{1}{x}})

derivative of x/(\sqrt[3]{x^2+4)}derivative of

integral from 0 to pi of (8e^x+7sin(x))

\int_{0}^{π} (8 e^{x} + 7 sin (x)) d x

Frequently Asked Questions (FAQ)

What is the f(x)=xe^{2x} ?
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