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Beliebt Funktionen >

extreme f(x)=(4x+3)/(x^2)

Lösung

extrempunkte

f (x) = \frac{4 x + 3}{x ^{2}}

Lösung

Minimum (- \frac{3}{2}, - \frac{4}{3})

Schritte zur Lösung

f^{'} (x) = \frac{2 ( - 2 x - 3 )}{x ^{3}}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{3}{2},

Ansteigend

: - \frac{3}{2} < x < 0,

Absteigend

: 0 < x < \infty

Stecke

x = - \frac{3}{2}

in

\frac{4 x + 3}{x ^{2}} : - \frac{4}{3}

Minimum (- \frac{3}{2}, - \frac{4}{3})

Graph

Beliebte Beispiele

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

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

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e x t re m e f (x, y) = x y + 4

extreme f(x)=x+sqrt(8-x)

e x t re m e f (x) = x + 8 - x

extreme ((x^2-5))/(x+3)

e x t re m e \frac{( x ^{2} - 5 )}{x + 3}

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e x t re m e f (x) = 2 x^{2} + 3 x y + 4 y^{2} - 7 x - 11 y