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Beliebt Funktionen >

f(x)=x^7+x^5+1/(x^3)+4x

Lösung

f (x) = x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x

Lösung

Domain : x < 0 or x > 0

Range : f (x) \leq - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16} or f (x) \geq (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}

Intercepts : Keine

Asymptotes : Vertikal x = 0

Extreme Points : Maximum (- \frac{6.25459 E 15}{1.0 E 16}, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}), Minimum (\frac{6.25459 E 15}{1.0 E 16}, (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16})

+1

Intervall-Notation

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

Range : (- \infty, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}] \cup [(\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}, \infty)

Schritte zur Lösung

Bereich von

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x : x < 0 or x > 0

Bereich von

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x : f (x) \leq - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16} or f (x) \geq (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}

Schnittpunkte mit der Achse von

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

Keine

Asymptoten von

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

Vertikal

: x = 0

Extrempunkte vonf

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

Maximum

(- \frac{6.25459 E 15}{1.0 E 16}, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}),

Minimum

(\frac{6.25459 E 15}{1.0 E 16}, (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16})

Graph

Beliebte Beispiele

f(x)=sqrt(x-2)+sqrt(4-x)

f (x) = x - 2 + 4 - x

f(x)=(x^3-2x^2)/(x-2)

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

f (x) = cos (x) + x

y = \frac{x}{( x - 1 ) ^{2}}

y = 25 x