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Beliebt Funktionen >

extreme f(x)=(x^2-16x+64)/(x-10)

Lösung

extrempunkte

f (x) = \frac{x ^{2} - 16 x + 64}{x - 10}

Lösung

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

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 20 x + 96}{( x - 10 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 8,

Absteigend

: 8 < x < 10,

Absteigend

: 10 < x < 12,

Ansteigend

: 12 < x < \infty

Stecke

x = 8

in

\frac{x ^{2} - 16 x + 64}{x - 10} : 0

Maximum (8, 0)

Stecke

x = 12

in

\frac{x ^{2} - 16 x + 64}{x - 10} : 8

Minimum (12, 8)

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

Graph

Beliebte Beispiele

extreme f(x)=x^3+y^3-33xy

e x t re m e f (x) = x^{3} + y^{3} - 33 x y

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

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

extreme g(x)=2x^3-3x^2-12x+13

e x t re m e g (x) = 2 x^{3} - 3 x^{2} - 12 x + 13

extreme F(x,y)=(1+x^2+y^2)/(1-x^2-y^2)

e x t re m e F (x, y) = \frac{1 + x ^{2} + y ^{2}}{1 - x ^{2} - y ^{2}}

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

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