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Beliebt Funktionen >

extreme y= 3/(-(x-4)^2-1)

Lösung

extrempunkte

y = \frac{3}{- ( x - 4 ) ^{2} - 1}

Lösung

Minimum (4, - 3)

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( - 2 x + 8 )}{( - x ^{2} + 8 x - 17 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 4

in

\frac{3}{- ( x - 4 ) ^{2} - 1} : - 3

Minimum (4, - 3)

Graph

Beliebte Beispiele

extreme f(xy)=2x^2+2y^2+4xy-8x+20

e x t re m e f (x y) = 2 x^{2} + 2 y^{2} + 4 x y - 8 x + 20

extreme f(x)=12x^2-2x^3

e x t re m e f (x) = 12 x^{2} - 2 x^{3}

extreme f(x,y)=x^2+y^2-4y+4

e x t re m e f (x, y) = x^{2} + y^{2} - 4 y + 4

extreme f(x)=x^5+243

e x t re m e f (x) = x^{5} + 243

extreme f(x)=3x^2-12x+7,0<= x<= 4

e x t re m e f (x) = 3 x^{2} - 12 x + 7, 0 \leq x \leq 4