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Popular Calculus >

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})

Graph

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)}

\int \frac{x ^{3}}{9 x ^{2} + 3} d x

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)}

d er i v a t i v e \frac{x}{3 x ^{2} + 4}

derivative of (5x^2+3sqrt(x))/(2x)

d er i v a t i v e \frac{5 x ^{2} + 3 x}{2 x}

Frequently Asked Questions (FAQ)

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