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Beliebt Funktionen >

extreme (x^2-24)/(x-5)

Lösung

extrempunkte

\frac{x ^{2} - 24}{x - 5}

Lösung

Maximum (4, 8), Minimum (6, 12)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 10 x + 24}{( x - 5 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 4,

Absteigend

: 4 < x < 5,

Absteigend

: 5 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 4

in

\frac{x ^{2} - 24}{x - 5} : 8

Maximum (4, 8)

Stecke

x = 6

in

\frac{x ^{2} - 24}{x - 5} : 12

Minimum (6, 12)

Maximum (4, 8), Minimum (6, 12)

Graph

Beliebte Beispiele

extreme f(x)=2x^3-3x^2+1

e x t re m e f (x) = 2 x^{3} - 3 x^{2} + 1

extreme f(x,y)=20x+64y+8xy-x^2-32y^2

e x t re m e f (x, y) = 20 x + 64 y + 8 x y - x^{2} - 32 y^{2}

extreme (x^2-1)/(x^2-4)

e x t re m e \frac{x ^{2} - 1}{x ^{2} - 4}

extreme f(x)=5x^2ln(x)

e x t re m e f (x) = 5 x^{2} ln (x)

extreme f(x,y)=2x^2+8xy+y^4

e x t re m e f (x, y) = 2 x^{2} + 8 x y + y^{4}