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Beliebt Funktionen >

extreme f(x)=(-x^2-10x-13)/(x+9)

Lösung

extrempunkte

f (x) = \frac{- x ^{2} - 10 x - 13}{x + 9}

Lösung

Minimum (- 11, 12), Maximum (- 7, 4)

Schritte zur Lösung

f^{'} (x) = \frac{- x ^{2} - 18 x - 77}{( x + 9 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 11,

Ansteigend

: - 11 < x < - 9,

Ansteigend

: - 9 < x < - 7,

Absteigend

: - 7 < x < \infty

Stecke

x = - 11

in

\frac{- x ^{2} - 10 x - 13}{x + 9} : 12

Minimum (- 11, 12)

Stecke

x = - 7

in

\frac{- x ^{2} - 10 x - 13}{x + 9} : 4

Maximum (- 7, 4)

Minimum (- 11, 12), Maximum (- 7, 4)

Graph

Beliebte Beispiele

extreme x^3-9x^2+1

e x t re m e x^{3} - 9 x^{2} + 1

extreme f(x)=(-24x^2-20x+24)/((x^2+1)^2)

e x t re m e f (x) = \frac{- 24 x ^{2} - 20 x + 24}{( x ^{2} + 1 ) ^{2}}

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

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extreme f(x)=-15051x^2+47796x+13402

e x t re m e f (x) = - 15051 x^{2} + 47796 x + 13402