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Beliebt Funktionen >

extreme f(x)= 4/(x^2+1)

Lösung

extrempunkte

f (x) = \frac{4}{x ^{2} + 1}

Lösung

Maximum (0, 4)

Schritte zur Lösung

f^{'} (x) = - \frac{8 x}{( x ^{2} + 1 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \infty

Stecke

x = 0

in

\frac{4}{x ^{2} + 1} : 4

Maximum (0, 4)

Graph

Beliebte Beispiele

extreme (ln(x))/(x^8)

e x t re m e \frac{ln ( x )}{x ^{8}}

extreme f(x)=(sin(x))(cos(x))

e x t re m e f (x) = (sin (x)) (cos (x))

derivative of-21x^2-3x_{+}8

\frac{d}{d x} (- 21 x^{2} - 3 x_{+} 8)

extreme f(x)=3x-6cos(x),-2<= x<= 0

e x t re m e f (x) = 3 x - 6 cos (x), - 2 \leq x \leq 0

extreme f(x)=(3x^2-8x+4)/(x^2)

e x t re m e f (x) = \frac{3 x ^{2} - 8 x + 4}{x ^{2}}