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Popular >

y= 3/(x^3)-1/(x^4)

Solution

y = \frac{3}{x ^{3}} - \frac{1}{x ^{4}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{2187}{256}

X Intercepts : (\frac{1}{3}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (\frac{4}{9}, \frac{2187}{256})

+1

Interval Notation

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

Range : (- \infty, \frac{2187}{256}]

Solution steps

Domain of

\frac{3}{x ^{3}} - \frac{1}{x ^{4}} : x < 0 or x > 0

Range of

\frac{3}{x ^{3}} - \frac{1}{x ^{4}} : f (x) \leq \frac{2187}{256}

Axis interception points of

\frac{3}{x ^{3}} - \frac{1}{x ^{4}} :

X Intercepts

: (\frac{1}{3}, 0)

Asymptotes of

\frac{3}{x ^{3}} - \frac{1}{x ^{4}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{3}{x ^{3}} - \frac{1}{x ^{4}} :

Maximum

(\frac{4}{9}, \frac{2187}{256})

Popular Examples

f(x)=(xe^x)/(e^x+1)

f (x) = \frac{x e ^{x}}{e ^{x} + 1}

f(x)=x^3+8x^2-9x-72

f (x) = x^{3} + 8 x^{2} - 9 x - 72

f(t)=arctan(t/3)

f (t) = arctan (\frac{t}{3})

y = \frac{4}{x - 2}

f (x) = - 5 ln (x)

Frequently Asked Questions (FAQ)

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