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Popular >

f(x)=x^2e^{11x}

Solution

f (x) = x^{2} e^{11 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 (- \frac{2}{11}, \frac{4}{121 e ^{2}}), Minimum (0, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

x^{2} e^{11 x} : - \infty < x < \infty

Range of

x^{2} e^{11 x} : f (x) > 0

Axis interception points of

x^{2} e^{11 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} e^{11 x} :

Horizontal

: y = 0

Extreme Points of

x^{2} e^{11 x} :

Maximum

(- \frac{2}{11}, \frac{4}{121 e ^{2}}),

Minimum

(0, 0)

Popular Examples

integral of (x^3)/(sqrt(x^4+1))

\int \frac{x ^{3}}{x ^{4} + 1} d x

limit as x approaches 0 of (tan(x))/(5x)

x \to 0 lim (\frac{tan ( x )}{5 x})

y^{'''}-6y^{''}+12y^'-8y=0

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = 0

(e^xcos(y)+2x)dx-(e^xsin(y))dy=0

(e^{x} cos (y) + 2 x) d x - (e^{x} sin (y)) d y = 0

x^{^{'}} = (x - 4)^{2}

Frequently Asked Questions (FAQ)

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