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Beliebt Funktionen >

extreme (6x)/(x^2+1)

Lösung

extrempunkte

\frac{6 x}{x ^{2} + 1}

Lösung

Minimum (- 1, - 3), Maximum (1, 3)

Schritte zur Lösung

f^{'} (x) = \frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

in

\frac{6 x}{x ^{2} + 1} : - 3

Minimum (- 1, - 3)

Stecke

x = 1

in

\frac{6 x}{x ^{2} + 1} : 3

Maximum (1, 3)

Minimum (- 1, - 3), Maximum (1, 3)

Graph

Beliebte Beispiele

extreme f(x)=-sqrt(1-x^2),0<= x<= 1

e x t re m e f (x) = - 1 - x^{2}, 0 \leq x \leq 1

extreme f(x)=x^2+xy+1/2 y^2-3x+y

e x t re m e f (x) = x^{2} + x y + \frac{1}{2} y^{2} - 3 x + y

extreme x^2+(400)/x

e x t re m e x^{2} + \frac{400}{x}

extreme 0.05x+20+(125)/x

e x t re m e 0.05 x + 20 + \frac{125}{x}

extreme f(x)=(9(t-2)^2)/(t^2)

e x t re m e f (x) = \frac{9 ( t - 2 ) ^{2}}{t ^{2}}