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Popular Calculus >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1, \frac{1}{e ^{2}}), Minimum (0, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

x^{2} e^{2 x} : f (x) > 0

Axis interception points of

x^{2} e^{2 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} e^{2 x} :

Horizontal

: y = 0

Extreme Points of

x^{2} e^{2 x} :

Maximum

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

Minimum

(0, 0)

Graph

Popular Examples

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limit as x approaches 0+of ln(1+sin(x))

derivative of-3sin(2x-6cos(x))

Frequently Asked Questions (FAQ)

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