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Beliebt Funktionen >

extreme f(x)=4x+9x^{-1}

Lösung

extrempunkte

f (x) = 4 x + 9 x^{- 1}

Lösung

Maximum (- \frac{3}{2}, - 12), Minimum (\frac{3}{2}, 12)

Schritte zur Lösung

f^{'} (x) = 4 - \frac{9}{x ^{2}}

Intervalle finden:

Ansteigend

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

Absteigend

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

Absteigend

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

Ansteigend

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

Stecke

x = - \frac{3}{2}

in

4 x + 9 x^{- 1} : - 12

Maximum (- \frac{3}{2}, - 12)

Stecke

x = \frac{3}{2}

in

4 x + 9 x^{- 1} : 12

Minimum (\frac{3}{2}, 12)

Maximum (- \frac{3}{2}, - 12), Minimum (\frac{3}{2}, 12)

Graph

Beliebte Beispiele

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

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

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

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

extreme f(x,y)=x^2y-5xy^3

e x t re m e f (x, y) = x^{2} y - 5 x y^{3}

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

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

extreme f(x,y)=14x^2-2x^3+4xy

e x t re m e f (x, y) = 14 x^{2} - 2 x^{3} + 4 x y