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Beliebt Funktionen >

extreme y=(x^2-9x+39)/(x-7)

Lösung

extrempunkte

y = \frac{x ^{2} - 9 x + 39}{x - 7}

Lösung

Maximum (2, - 5), Minimum (12, 15)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 14 x + 24}{( x - 7 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 7,

Absteigend

: 7 < x < 12,

Ansteigend

: 12 < x < \infty

Stecke

x = 2

in

\frac{x ^{2} - 9 x + 39}{x - 7} : - 5

Maximum (2, - 5)

Stecke

x = 12

in

\frac{x ^{2} - 9 x + 39}{x - 7} : 15

Minimum (12, 15)

Maximum (2, - 5), Minimum (12, 15)

Graph

Beliebte Beispiele

extreme 1/((x+1)^2)

e x t re m e \frac{1}{( x + 1 ) ^{2}}

extreme f(x)=x(x^2-12)

e x t re m e f (x) = x (x^{2} - 12)

extreme f(x,y)=(x+y^2)*e^{2x}

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

extreme f(x,y)=8e^{(((-x^2-y^2))/4)}

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

extreme f(x,y)=ln(16-x^2-16y^2)

e x t re m e f (x, y) = ln (16 - x^{2} - 16 y^{2})