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Popular >

f(x)=3x^2e^x+e^xx^3

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 18 e^{- 3 - 3} - 123 e^{- 3 - 3}

X Intercepts : (0, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3 - 3, - 18 e^{- 3 - 3} - 123 e^{- 3 - 3}), Maximum (- 3 + 3, - 18 e^{- 3 + 3} + 123 e^{- 3 + 3}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 18 e^{- 3 - 3} - 123 e^{- 3 - 3}, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} e^{x} + e^{x} x^{3} : f (x) \geq - 18 e^{- 3 - 3} - 123 e^{- 3 - 3}

Axis interception points of

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

X Intercepts

: (0, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 3 - 3, - 18 e^{- 3 - 3} - 123 e^{- 3 - 3}),

Maximum

(- 3 + 3, - 18 e^{- 3 + 3} + 123 e^{- 3 + 3}),

Minimum

(0, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=3x^2e^x+e^xx^3 ?
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