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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (- 1, 0)

Asymptotes : Vertical x = 0

Extreme Points : Minimum (1.32037 \dots, 0.88603 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}} : x < 0 or x > 0

Range of

\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}} : - \infty < f (x) < \infty

Axis interception points of

\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}} :

X Intercepts

: (- 1, 0)

Asymptotes of

\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}} :

Vertical

: x = 0

Extreme Points of

\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}} :

Minimum

(1.32037 \dots, 0.88603 \dots)

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\frac{d y}{d x} = 8 x 25 - y^{2}

sum from n=1 to infinity of 3-2/(3^n)

n = 1 \sum \infty 3 - \frac{2}{3 ^{n}}

integral from b to 2b of x^7

\int_{b}^{2 b} x^{7} d x

limit as h approaches+0 of h

h \to + 0 lim (h)

integral of 2xy^2-3

\int 2 x y^{2} - 3 d x

Frequently Asked Questions (FAQ)

What is the f(x)=(5-4x^2+x^5)/(x^3) ?
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