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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- 3, \frac{3}{2}), Minimum (3, - \frac{3}{2})

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( - x ^{2} + 3 )}{( x ^{2} + 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 3

in

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

Maximum (- 3, \frac{3}{2})

Stecke

x = 3

in

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

Minimum (3, - \frac{3}{2})

Maximum (- 3, \frac{3}{2}), Minimum (3, - \frac{3}{2})

Graph

Beliebte Beispiele

extreme f(x)=2x+(32)/x

e x t re m e f (x) = 2 x + \frac{32}{x}

extreme f(x)=(x^3)/3-x^2-3x-1,-7<= x<= 7

e x t re m e f (x) = \frac{x ^{3}}{3} - x^{2} - 3 x - 1, - 7 \leq x \leq 7

extreme y=(x-4)^4(x+3)^3

e x t re m e y = (x - 4)^{4} (x + 3)^{3}

extreme-x^3+6x^2

e x t re m e - x^{3} + 6 x^{2}

extreme f(x)=6x^3-21x^2+36x-5

e x t re m e f (x) = 6 x^{3} - 21 x^{2} + 36 x - 5