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Popular >

f(x)=(x^3)/6+1/(2x)

Solution

f (x) = \frac{x ^{3}}{6} + \frac{1}{2 x}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 1, - \frac{2}{3}), Minimum (1, \frac{2}{3})

+1

Interval Notation

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

Range : (- \infty, - \frac{2}{3}] \cup [\frac{2}{3}, \infty)

Solution steps

Domain of

\frac{x ^{3}}{6} + \frac{1}{2 x} : x < 0 or x > 0

Range of

\frac{x ^{3}}{6} + \frac{1}{2 x} : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Axis interception points of

\frac{x ^{3}}{6} + \frac{1}{2 x} :

None

Asymptotes of

\frac{x ^{3}}{6} + \frac{1}{2 x} :

Vertical

: x = 0

Extreme Points of

\frac{x ^{3}}{6} + \frac{1}{2 x} :

Maximum

(- 1, - \frac{2}{3}),

Minimum

(1, \frac{2}{3})

Popular Examples

f(x)=x^2+6x^3-4+2x^5

f (x) = x^{2} + 6 x^{3} - 4 + 2 x^{5}

y=ln(xsqrt(4x-1))

y = ln (x 4 x - 1)

y = 3 + x

f (x) = cos (x) + 3

F (x) = 4 cos (\frac{1}{x})

Frequently Asked Questions (FAQ)

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