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Beliebt Funktionen >

inflection 1+1/x-2/(x^3)

Lösung

wendepunkte

1 + \frac{1}{x} - \frac{2}{x ^{3}}

Lösung

(- 23, - \frac{5}{12 3} + 1), (23, \frac{5}{12 3} + 1)

Schritte zur Lösung

f^{''} (x) = - \frac{24}{x ^{5}} + \frac{2}{x ^{3}}

Intervalle finden:

Konkav fallend

: - \infty < x < - 23,

Konkav steigend

: - 23 < x < 0,

Konkav fallend

: 0 < x < 23,

Konkav steigend

: 23 < x < \infty

Stecke

x = - 23

in

1 + \frac{1}{x} - \frac{2}{x ^{3}} : - \frac{5}{12 3} + 1

(- 23, - \frac{5}{12 3} + 1)

Stecke

x = 23

in

1 + \frac{1}{x} - \frac{2}{x ^{3}} : \frac{5}{12 3} + 1

(23, \frac{5}{12 3} + 1)

(- 23, - \frac{5}{12 3} + 1), (23, \frac{5}{12 3} + 1)

Graph

Beliebte Beispiele

interzeption x^3-23.47x^2+223.6

in t erce pt s x^{3} - 23.47 x^{2} + 223.6

asymptoten r(x)=(2x-3)/(x^2+x+1)

a sy m pt o t es r (x) = \frac{2 x - 3}{x ^{2} + x + 1}

asymptoten (x^2+10x+24)/(x-6)

a sy m pt o t es \frac{x ^{2} + 10 x + 24}{x - 6}

domäne 9/4 x-5

d o main \frac{9}{4} x - 5

asymptoten f(x)=2(4/5)^x

a sy m pt o t es f (x) = 2 (\frac{4}{5})^{x}