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Beliebt Funktionen >

extreme f(x)=(x^2-11x+67)/(x-9)

Lösung

extrempunkte

f (x) = \frac{x ^{2} - 11 x + 67}{x - 9}

Lösung

Maximum (2, - 7), Minimum (16, 21)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 18 x + 32}{( x - 9 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 9,

Absteigend

: 9 < x < 16,

Ansteigend

: 16 < x < \infty

Stecke

x = 2

in

\frac{x ^{2} - 11 x + 67}{x - 9} : - 7

Maximum (2, - 7)

Stecke

x = 16

in

\frac{x ^{2} - 11 x + 67}{x - 9} : 21

Minimum (16, 21)

Maximum (2, - 7), Minimum (16, 21)

Graph

Beliebte Beispiele

extreme f(x)=sqrt(x)ln(9x)

e x t re m e f (x) = x ln (9 x)

extreme f(x)=x^{2/3}(7x+5)

e x t re m e f (x) = x^{\frac{2}{3}} (7 x + 5)

extreme f(x,y)=x^3-9xy+y^3-2

e x t re m e f (x, y) = x^{3} - 9 x y + y^{3} - 2

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

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

solvefor V,V= 1/3 pir2h

so l v e f or V, V = \frac{1}{3} π r 2 h