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Beliebt Funktionen >

extreme x^6(x-1)^5

Lösung

extrempunkte

x^{6} (x - 1)^{5}

Lösung

Maximum (0, 0), Minimum (\frac{6}{11}, - \frac{145800000}{1 1 ^{11}}), Sattel (1, 0)

Schritte zur Lösung

f^{'} (x) = x^{5} (x - 1)^{4} (11 x - 6)

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{6}{11},

Ansteigend

: \frac{6}{11} < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

x^{6} (x - 1)^{5} : 0

Maximum (0, 0)

Stecke

x = \frac{6}{11}

in

x^{6} (x - 1)^{5} : - \frac{145800000}{1 1 ^{11}}

Minimum (\frac{6}{11}, - \frac{145800000}{1 1 ^{11}})

Stecke

x = 1

in

x^{6} (x - 1)^{5} : 0

Sattel (1, 0)

Maximum (0, 0), Minimum (\frac{6}{11}, - \frac{145800000}{1 1 ^{11}}), Sattel (1, 0)

Graph

Beliebte Beispiele

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

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

bereich f(x)=-sin(x-pi/3)

r an g e f (x) = - sin (x - \frac{π}{3})

domäne f(x)= 5/(3x-9)

d o main f (x) = \frac{5}{3 x - 9}

in v erse f (x) = 17

parallel 2x-y=6,(-7,-8)

p a r a ll e l 2 x - y = 6, (- 7, - 8)