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Beliebt Funktionen >

extreme f(x)=(x^2-14x+49)/(x-10)

Lösung

extrempunkte

f (x) = \frac{x ^{2} - 14 x + 49}{x - 10}

Lösung

Maximum (7, 0), Minimum (13, 12)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 20 x + 91}{( x - 10 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 7,

Absteigend

: 7 < x < 10,

Absteigend

: 10 < x < 13,

Ansteigend

: 13 < x < \infty

Stecke

x = 7

in

\frac{x ^{2} - 14 x + 49}{x - 10} : 0

Maximum (7, 0)

Stecke

x = 13

in

\frac{x ^{2} - 14 x + 49}{x - 10} : 12

Minimum (13, 12)

Maximum (7, 0), Minimum (13, 12)

Graph

Beliebte Beispiele

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