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Beliebt Funktionen >

extreme f(x)=-(13)/(x^2-5x+35)

Lösung

extrempunkte

f (x) = - \frac{13}{x ^{2} - 5 x + 35}

Lösung

Minimum (\frac{5}{2}, - \frac{52}{115})

Schritte zur Lösung

f^{'} (x) = \frac{13 ( 2 x - 5 )}{( x ^{2} - 5 x + 35 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < \frac{5}{2},

Ansteigend

: \frac{5}{2} < x < \infty

Stecke

x = \frac{5}{2}

in

- \frac{13}{x ^{2} - 5 x + 35} : - \frac{52}{115}

Minimum (\frac{5}{2}, - \frac{52}{115})

Graph

Beliebte Beispiele

extreme f(x)=(3x^2-4xy+2y^2)/(4x+9y^2)

e x t re m e f (x) = \frac{3 x ^{2} - 4 x y + 2 y ^{2}}{4 x + 9 y ^{2}}

extreme (x-2)^3+3

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

extreme f(x)=68x-x^2

e x t re m e f (x) = 68 x - x^{2}

extreme f(x,y)=4x^2y-2x-y^2

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

extreme x^3+x,-1<= x<= 2

e x t re m e x^{3} + x, - 1 \leq x \leq 2