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Popular Calculus >

f(x)=x^3e^x

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} e^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{x} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{x} :

Minimum

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

Saddle

(0, 0)

Graph

Popular Examples

derivative of x^3+y^2

(\partial)/(\partial x)(2e^{x^2})

tangent of ((2x-1)/(x+1)),2

(dy)/(dx)=e^{2x}+3y

integral of xsqrt(16+x^2)

Frequently Asked Questions (FAQ)

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