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Beliebt Funktionen >

extreme f(x)=5x-4ln(4x)

Lösung

extrempunkte

f (x) = 5 x - 4 ln (4 x)

Lösung

Minimum (\frac{4}{5}, 4 - 4 ln (\frac{16}{5}))

Schritte zur Lösung

f^{'} (x) = 5 - \frac{4}{x}

Intervalle finden:

Absteigend

: 0 < x < \frac{4}{5},

Ansteigend

: \frac{4}{5} < x < \infty

Stecke

x = \frac{4}{5}

in

5 x - 4 ln (4 x) : 4 - 4 ln (\frac{16}{5})

Minimum (\frac{4}{5}, 4 - 4 ln (\frac{16}{5}))

Graph

Beliebte Beispiele

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

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

extreme g(x,y)=x^3+y^3-3x-3y

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

extreme f(x)=-x^6-3x^3+x+1

e x t re m e f (x) = - x^{6} - 3 x^{3} + x + 1

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extreme f(x)=3sin(x)cos(x)

e x t re m e f (x) = 3 sin (x) cos (x)