en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=x^5-21x^3+80x

Solution

y = x^{5} - 21 x^{3} + 80 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 5, 0), (5, 0), (- 4, 0), (4, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum - \frac{63 + 2369}{10}, - (\frac{63 + 2369}{10})^{\frac{5}{2}} + 21 (\frac{63 + 2369}{10})^{\frac{3}{2}} - 810 63 + 2369, Minimum - \frac{63 - 2369}{10}, - (\frac{63 - 2369}{10})^{\frac{5}{2}} + 21 (\frac{63 - 2369}{10})^{\frac{3}{2}} - 810 63 - 2369, Maximum \frac{63 - 2369}{10}, (\frac{63 - 2369}{10})^{\frac{5}{2}} - 21 (\frac{63 - 2369}{10})^{\frac{3}{2}} + 810 63 - 2369, Minimum \frac{63 + 2369}{10}, (\frac{63 + 2369}{10})^{\frac{5}{2}} - 21 (\frac{63 + 2369}{10})^{\frac{3}{2}} + 810 63 + 2369

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{5} - 21 x^{3} + 80 x : - \infty < x < \infty

Range of

x^{5} - 21 x^{3} + 80 x : - \infty < f (x) < \infty

Axis interception points of

x^{5} - 21 x^{3} + 80 x :

X Intercepts

: (0, 0), (- 5, 0), (5, 0), (- 4, 0), (4, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{5} - 21 x^{3} + 80 x :

None

Extreme Points of

x^{5} - 21 x^{3} + 80 x :

Maximum

- \frac{63 + 2369}{10}, - (\frac{63 + 2369}{10})^{\frac{5}{2}} + 21 (\frac{63 + 2369}{10})^{\frac{3}{2}} - 810 63 + 2369,

Minimum

- \frac{63 - 2369}{10}, - (\frac{63 - 2369}{10})^{\frac{5}{2}} + 21 (\frac{63 - 2369}{10})^{\frac{3}{2}} - 810 63 - 2369,

Maximum

\frac{63 - 2369}{10}, (\frac{63 - 2369}{10})^{\frac{5}{2}} - 21 (\frac{63 - 2369}{10})^{\frac{3}{2}} + 810 63 - 2369,

Minimum

\frac{63 + 2369}{10}, (\frac{63 + 2369}{10})^{\frac{5}{2}} - 21 (\frac{63 + 2369}{10})^{\frac{3}{2}} + 810 63 + 2369

Popular Examples

f(x)=(x-1)/(\sqrt[3]{x)-1}

f (p) = 5 p^{2}

f(x)= x/(-2-ln(x))

f (x) = \frac{x}{- 2 - ln ( x )}

f(x)=(x^2-10x+2)/(x(x^2-1))

f (x) = \frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )}

f(x)=sqrt(x+13)

f (x) = x + 13

Frequently Asked Questions (FAQ)

What is the y=x^5-21x^3+80x ?
The y=x^5-21x^3+80x is