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Popular >

f(x)=(x^2)/(e^x)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (2, \frac{4}{e ^{2}})

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x ^{2}}{e ^{x}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2}}{e ^{x}} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2}}{e ^{x}} :

Minimum

(0, 0),

Maximum

(2, \frac{4}{e ^{2}})

Popular Examples

limit as x approaches 0 of 2/x-2/(x^2+x)

x \to 0 lim (\frac{2}{x} - \frac{2}{x ^{2} + x})

derivative of (3x-4^5)

\frac{d}{d x} ((3 x - 4)^{5})

derivative of f(t)=sin(t)-tcos(t)derivative of

f (t) = sin (t) - t cos (t)

x^2y^'-2xy=4y^4

x^{2} y^{^{'}} - 2 x y = 4 y^{4}

integral of (2x+6)

\int (2 x + 6) d x

Frequently Asked Questions (FAQ)

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