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Beliebt Funktionen >

extreme f(x)=(5(x-6)^2)/(x-1)

Lösung

extrempunkte

f (x) = \frac{5 ( x - 6 ) ^{2}}{x - 1}

Lösung

Maximum (- 4, - 100), Minimum (6, 0)

Schritte zur Lösung

f^{'} (x) = \frac{5 ( x ^{2} - 2 x - 24 )}{( x - 1 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 4,

Absteigend

: - 4 < x < 1,

Absteigend

: 1 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = - 4

in

\frac{5 ( x - 6 ) ^{2}}{x - 1} : - 100

Maximum (- 4, - 100)

Stecke

x = 6

in

\frac{5 ( x - 6 ) ^{2}}{x - 1} : 0

Minimum (6, 0)

Maximum (- 4, - 100), Minimum (6, 0)

Graph

Beliebte Beispiele

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

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

extreme f(x)=x^3-x^2-8x+12

e x t re m e f (x) = x^{3} - x^{2} - 8 x + 12

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

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

extreme f(x)=5x^5-3x^2+x-10,-5<= x<= 6

e x t re m e f (x) = 5 x^{5} - 3 x^{2} + x - 10, - 5 \leq x \leq 6

extreme f(x,y)=32y^2+x^2-x^2y

e x t re m e f (x, y) = 32 y^{2} + x^{2} - x^{2} y