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Beliebt Funktionen >

extreme f(x)=sqrt(10x^2+36x+36)

Lösung

extrempunkte

f (x) = 10 x^{2} + 36 x + 36

Lösung

Minimum (- \frac{9}{5}, \frac{3 2}{5})

Schritte zur Lösung

f^{'} (x) = \frac{2 ( 5 x + 9 )}{10 x ^{2} + 36 x + 36}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{9}{5},

Ansteigend

: - \frac{9}{5} < x < \infty

Stecke

x = - \frac{9}{5}

in

10 x^{2} + 36 x + 36 : \frac{3 2}{5}

Minimum (- \frac{9}{5}, \frac{3 2}{5})

Graph

Beliebte Beispiele

extreme f(x)=x^4-4x^3+12

e x t re m e f (x) = x^{4} - 4 x^{3} + 12

extreme f(x)=4x^3+48x^2+180x

e x t re m e f (x) = 4 x^{3} + 48 x^{2} + 180 x

extreme f(x)=x^3-x^2-8x+4

e x t re m e f (x) = x^{3} - x^{2} - 8 x + 4

extreme f(x)=x^3-x^2-8x+8

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extreme f(x,y)=x^3+y^3-24xy

e x t re m e f (x, y) = x^{3} + y^{3} - 24 x y