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Popular >

f(x)=e^xx

Solution

f (x) = e^{x} x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{e}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{e}, \infty)

Solution steps

Domain of

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

Range of

e^{x} x : f (x) \geq - \frac{1}{e}

Axis interception points of

e^{x} x :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

e^{x} x :

Horizontal

: y = 0

Extreme Points of

e^{x} x :

Minimum

(- 1, - \frac{1}{e})

Popular Examples

integral of te^{-10t}

\int t e^{- 10 t} d t

integral of (cos(x))/(2-cos(x))

\int \frac{cos ( x )}{2 - cos ( x )} d x

d/(dy)((x^2)/y)

\frac{d}{d y} (\frac{x ^{2}}{y})

integral of ((2-sqrt(x))^7)/(sqrt(x))

\int \frac{( 2 - x ) ^{7}}{x} d x

d/(dy)(e^xtan(y))

\frac{d}{d y} (e^{x} tan (y))

Frequently Asked Questions (FAQ)

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