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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 1, 0), (1, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum - \frac{15 + 145}{10}, - (\frac{15 + 145}{10})^{\frac{5}{2}} + 5 (\frac{15 + 145}{10})^{\frac{3}{2}} - 4 \frac{15 + 145}{10}, Minimum - \frac{15 - 145}{10}, - (\frac{15 - 145}{10})^{\frac{5}{2}} + 5 (\frac{15 - 145}{10})^{\frac{3}{2}} - 4 \frac{15 - 145}{10}, Maximum \frac{15 - 145}{10}, (\frac{15 - 145}{10})^{\frac{5}{2}} - 5 (\frac{15 - 145}{10})^{\frac{3}{2}} + 4 \frac{15 - 145}{10}, Minimum \frac{15 + 145}{10}, (\frac{15 + 145}{10})^{\frac{5}{2}} - 5 (\frac{15 + 145}{10})^{\frac{3}{2}} + 4 \frac{15 + 145}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{5} - 5 x^{3} + 4 x : - \infty < x < \infty

Range of

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

Axis interception points of

x^{5} - 5 x^{3} + 4 x :

X Intercepts

: (0, 0), (- 1, 0), (1, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{5} - 5 x^{3} + 4 x :

None

Extreme Points of

x^{5} - 5 x^{3} + 4 x :

Maximum

- \frac{15 + 145}{10}, - (\frac{15 + 145}{10})^{\frac{5}{2}} + 5 (\frac{15 + 145}{10})^{\frac{3}{2}} - 4 \frac{15 + 145}{10},

Minimum

- \frac{15 - 145}{10}, - (\frac{15 - 145}{10})^{\frac{5}{2}} + 5 (\frac{15 - 145}{10})^{\frac{3}{2}} - 4 \frac{15 - 145}{10},

Maximum

\frac{15 - 145}{10}, (\frac{15 - 145}{10})^{\frac{5}{2}} - 5 (\frac{15 - 145}{10})^{\frac{3}{2}} + 4 \frac{15 - 145}{10},

Minimum

\frac{15 + 145}{10}, (\frac{15 + 145}{10})^{\frac{5}{2}} - 5 (\frac{15 + 145}{10})^{\frac{3}{2}} + 4 \frac{15 + 145}{10}

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Frequently Asked Questions (FAQ)

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