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Beliebt Funktionen >

extreme f(x)=-5x+3ln(4x)

Lösung

extrempunkte

f (x) = - 5 x + 3 ln (4 x)

Lösung

Maximum (\frac{3}{5}, - 3 + 3 ln (\frac{12}{5}))

Schritte zur Lösung

f^{'} (x) = - 5 + \frac{3}{x}

Intervalle finden:

Ansteigend

: 0 < x < \frac{3}{5},

Absteigend

: \frac{3}{5} < x < \infty

Stecke

x = \frac{3}{5}

in

- 5 x + 3 ln (4 x) : - 3 + 3 ln (\frac{12}{5})

Maximum (\frac{3}{5}, - 3 + 3 ln (\frac{12}{5}))

Graph

Beliebte Beispiele

extreme f(x)=(3x)/(x^2+1)

e x t re m e f (x) = \frac{3 x}{x ^{2} + 1}

extreme f(x)=(x^3+8)/x

e x t re m e f (x) = \frac{x ^{3} + 8}{x}

extreme f(x)=x^3-9/2 x^2+1

e x t re m e f (x) = x^{3} - \frac{9}{2} x^{2} + 1

extreme y=2x^2+z^2

e x t re m e y = 2 x^{2} + z^{2}

extreme f(x,y)=1-3x^4-6x^2y+2y^3

e x t re m e f (x, y) = 1 - 3 x^{4} - 6 x^{2} y + 2 y^{3}