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Beliebt Funktionen >

extreme f(x)=((x^2-5)^3)/(125)

Lösung

extrempunkte

f (x) = \frac{( x ^{2} - 5 ) ^{3}}{125}

Lösung

Minimum (0.00000 \dots, - 1.00000 \dots)

Schritte zur Lösung

f^{'} (x) = \frac{6 x ( x ^{2} - 5 ) ^{2}}{125}

Intervalle finden:

Absteigend

: - \infty < x < - 5,

Absteigend

: - 5 < x < 0,

Ansteigend

: 0 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 0.00000 \dots

in

\frac{( x ^{2} - 5 ) ^{3}}{125} : - 1.00000 \dots

Minimum (0.00000 \dots, - 1.00000 \dots)

Graph

Beliebte Beispiele

extreme f(x)=(x+4)^{2/3}

e x t re m e f (x) = (x + 4)^{\frac{2}{3}}

extreme f(x)=-2x+5ln(2x)

e x t re m e f (x) = - 2 x + 5 ln (2 x)

extreme f(x)=2cos^2(x),0<= x<= pi

e x t re m e f (x) = 2 cos^{2} (x), 0 \leq x \leq π

extreme (12)/(x^2+1)

e x t re m e \frac{12}{x ^{2} + 1}

extreme f(x)=cos(x)-2x,0<= x<= 4pi

e x t re m e f (x) = cos (x) - 2 x, 0 \leq x \leq 4 π