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Popular Functions >

f(x)= 1/3 x^3-ln|x|+e^2

Solution

f (x) = \frac{1}{3} x^{3} - ln ∣ x ∣ + e^{2}

Solution

Domain : x < 0 or x > 0

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (1, e^{2} + \frac{1}{3})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{1}{3} x^{3} - ln ∣ x ∣ + e^{2} : x < 0 or x > 0

Axis interception points of

\frac{1}{3} x^{3} - ln ∣ x ∣ + e^{2} :

None

Asymptotes of

\frac{1}{3} x^{3} - ln ∣ x ∣ + e^{2} :

Vertical

: x = 0

Extreme Points of

\frac{1}{3} x^{3} - ln ∣ x ∣ + e^{2} :

Minimum

(1, e^{2} + \frac{1}{3})

Graph

Popular Examples

y=log_{1/3}(x+1)

f(x)=sqrt(x^2+1-x)

f(x)=(1-2x+x^2)/4

Frequently Asked Questions (FAQ)

What is the f(x)= 1/3 x^3-ln|x|+e^2 ?
The f(x)= 1/3 x^3-ln|x|+e^2 is