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Popular >

f(x)=x^5e^x

Solution

f (x) = x^{5} e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{3125}{e ^{5}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 5, - \frac{3125}{e ^{5}}), Saddle (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3125}{e ^{5}}, \infty)

Solution steps

Domain of

x^{5} e^{x} : - \infty < x < \infty

Range of

x^{5} e^{x} : f (x) \geq - \frac{3125}{e ^{5}}

Axis interception points of

x^{5} e^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{5} e^{x} :

Horizontal

: y = 0

Extreme Points of

x^{5} e^{x} :

Minimum

(- 5, - \frac{3125}{e ^{5}}),

Saddle

(0, 0)

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\frac{\partial}{\partial x} (3 x y^{2} + 16 x^{2} y^{3})

Frequently Asked Questions (FAQ)

What is the f(x)=x^5e^x ?
The f(x)=x^5e^x is