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Popular >

f(x)=ln(1+e^x)

Solution

f (x) = ln (1 + e^{x})

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

Y Intercepts : (0, ln (2))

Asymptotes : Horizontal y = 0

Extreme Points : None

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

ln (1 + e^{x}) : - \infty < x < \infty

Range of

ln (1 + e^{x}) : f (x) > 0

Axis interception points of

ln (1 + e^{x}) :

Y Intercepts

: (0, ln (2))

Asymptotes of

ln (1 + e^{x}) :

Horizontal

: y = 0

Extreme Points of

ln (1 + e^{x}) :

None

Popular Examples

area |x|,x^2-6 area

∣ x ∣, x^{2} - 6

y^'+2y=t,y(0)=1

y^{^{'}} + 2 y = t, y (0) = 1

(dy}{dx}-2y=\frac{2y)/x

\frac{d y}{d x} - 2 y = \frac{2 y}{x}

integral of arccot(10y)

\int arccot (10 y) d y

derivative of ((x-5(x^2+5x+25))/(x^3))

\frac{d}{d x} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the f(x)=ln(1+e^x) ?
The f(x)=ln(1+e^x) is