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Beliebt Funktionen >

extreme 2x^2+(36)/x

Lösung

extrempunkte

2 x^{2} + \frac{36}{x}

Lösung

Minimum (39, 2 \cdot 9^{\frac{2}{3}} + \frac{36}{3 9})

Schritte zur Lösung

f^{'} (x) = 4 x - \frac{36}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 39,

Ansteigend

: 39 < x < \infty

Stecke

x = 39

in

2 x^{2} + \frac{36}{x} : 2 \cdot 9^{\frac{2}{3}} + \frac{36}{3 9}

Minimum (39, 2 \cdot 9^{\frac{2}{3}} + \frac{36}{3 9})

Graph

Beliebte Beispiele

extreme f(x)=4-sqrt(9-x)

e x t re m e f (x) = 4 - 9 - x

extreme f(x)=x^6-2x^5+8x^4

e x t re m e f (x) = x^{6} - 2 x^{5} + 8 x^{4}

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

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

solvefor x,f=y^2-xy-x^2

so l v e f or x, f = y^{2} - x y - x^{2}

extreme f(x)=x^3+2x^2+6x+6

e x t re m e f (x) = x^{3} + 2 x^{2} + 6 x + 6