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Beliebt Funktionen >

extreme f(x)=(6x)/(x^2+25)

Lösung

extrempunkte

f (x) = \frac{6 x}{x ^{2} + 25}

Lösung

Minimum (- 5, - \frac{3}{5}), Maximum (5, \frac{3}{5})

Schritte zur Lösung

f^{'} (x) = \frac{6 ( - x ^{2} + 25 )}{( x ^{2} + 25 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 5,

Ansteigend

: - 5 < x < 5,

Absteigend

: 5 < x < \infty

Stecke

x = - 5

in

\frac{6 x}{x ^{2} + 25} : - \frac{3}{5}

Minimum (- 5, - \frac{3}{5})

Stecke

x = 5

in

\frac{6 x}{x ^{2} + 25} : \frac{3}{5}

Maximum (5, \frac{3}{5})

Minimum (- 5, - \frac{3}{5}), Maximum (5, \frac{3}{5})

Graph

Beliebte Beispiele

extreme f(x)=(x+1/x)

e x t re m e f (x) = (x + \frac{1}{x})

extreme f(x)=x^2+y^2+x+y+xy

e x t re m e f (x) = x^{2} + y^{2} + x + y + x y

extreme f(x)=(ln(x))/(8x),1<= x<= 4

e x t re m e f (x) = \frac{ln ( x )}{8 x}, 1 \leq x \leq 4

extreme f(x)=(1+3x)/(sqrt(4+5x^2))

e x t re m e f (x) = \frac{1 + 3 x}{4 + 5 x ^{2}}

extreme f(x)=x^2+y^2-6x+3y

e x t re m e f (x) = x^{2} + y^{2} - 6 x + 3 y