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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (2, 0), Minimum (8, 12)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 10 x + 16}{( x - 5 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 5,

Absteigend

: 5 < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 2

in

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

Maximum (2, 0)

Stecke

x = 8

in

\frac{( x - 2 ) ^{2}}{x - 5} : 12

Minimum (8, 12)

Maximum (2, 0), Minimum (8, 12)

Graph

Beliebte Beispiele

extreme f(x)=-x^2-5x-2

e x t re m e f (x) = - x^{2} - 5 x - 2

extreme f(x)=3x^3+4x^2+3x-1

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

extreme F(X,Y)=1-X^2+2Y^2

e x t re m e F (X, Y) = 1 - X^{2} + 2 Y^{2}

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

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

extreme f(x)=x^3-15x^2+78x+5

e x t re m e f (x) = x^{3} - 15 x^{2} + 78 x + 5