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Popular >

f(x)=x^3e^{2x}

Solution

f (x) = x^{3} e^{2 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{27}{8 e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{3}{2}, - \frac{27}{8 e ^{3}}), Saddle (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{27}{8 e ^{3}}, \infty)

Solution steps

Domain of

x^{3} e^{2 x} : - \infty < x < \infty

Range of

x^{3} e^{2 x} : f (x) \geq - \frac{27}{8 e ^{3}}

Axis interception points of

x^{3} e^{2 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{2 x} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{2 x} :

Minimum

(- \frac{3}{2}, - \frac{27}{8 e ^{3}}),

Saddle

(0, 0)

Popular Examples

limit as x approaches 1 of x^{3/(1-x)}

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

y^{''}-5y^'-6y=0,y(0)=5,y^'(0)=12

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = 5, y^{^{'}} (0) = 12

integral of 1/(10x^{1/2)-x}

\int \frac{1}{10 x ^{\frac{1}{2}} - x} d x

integral of 1/((1-x)^2)

\int \frac{1}{( 1 - x ) ^{2}} d x

integral of (3y^2-t^2)/(y^5)

\int \frac{3 y ^{2} - t ^{2}}{y ^{5}} d y

Frequently Asked Questions (FAQ)

What is the f(x)=x^3e^{2x} ?
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