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Beliebt Funktionen >

extreme f(x)=((x^2-63))/(x-8)

Lösung

extrempunkte

f (x) = \frac{( x ^{2} - 63 )}{x - 8}

Lösung

Maximum (7, 14), Minimum (9, 18)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 16 x + 63}{( x - 8 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 7,

Absteigend

: 7 < x < 8,

Absteigend

: 8 < x < 9,

Ansteigend

: 9 < x < \infty

Stecke

x = 7

in

\frac{x ^{2} - 63}{x - 8} : 14

Maximum (7, 14)

Stecke

x = 9

in

\frac{x ^{2} - 63}{x - 8} : 18

Minimum (9, 18)

Maximum (7, 14), Minimum (9, 18)

Graph

Beliebte Beispiele

extreme x^3+8y^3-6xy+5

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e x t re m e f (x) = 4 x^{3} - 60 x^{2} + 200 x

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extreme (x+3)/(x+2)

e x t re m e \frac{x + 3}{x + 2}