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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 f(x)=x^2+y^4+2xy

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

extreme (x^2-3)e^x

e x t re m e (x^{2} - 3) e^{x}

extreme f(x,y)=x^3+y^3+3xy+5

e x t re m e f (x, y) = x^{3} + y^{3} + 3 x y + 5

extreme f(x)=(-cos(2x))/2-2sin(x)

e x t re m e f (x) = \frac{- cos ( 2 x )}{2} - 2 sin (x)

extreme f(x)=x^4+4x^2-10,-5<= x<= 2

e x t re m e f (x) = x^{4} + 4 x^{2} - 10, - 5 \leq x \leq 2