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Beliebt Funktionen >

extreme y=5x^2ln(x/4)

Lösung

extrempunkte

y = 5 x^{2} ln (\frac{x}{4})

Lösung

Minimum (\frac{4}{e}, - \frac{40}{e})

Schritte zur Lösung

f^{'} (x) = 5 (2 x ln (\frac{x}{4}) + x)

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{4}{e}

in

5 x^{2} ln (\frac{x}{4}) : - \frac{40}{e}

Minimum (\frac{4}{e}, - \frac{40}{e})

Graph

Beliebte Beispiele

extreme f(x)=(-5)/(x-6)

e x t re m e f (x) = \frac{- 5}{x - 6}

extreme f(x,y)=sqrt(400-9x^2-64y^2)

e x t re m e f (x, y) = 400 - 9 x^{2} - 64 y^{2}

extreme f(x)=x^3-6x^2-15x+2

e x t re m e f (x) = x^{3} - 6 x^{2} - 15 x + 2

extreme 9xln(x)

e x t re m e 9 x ln (x)

extreme f(x)=2tan(x)-3,-pi/3 <= x<= pi/3

e x t re m e f (x) = 2 tan (x) - 3, - \frac{π}{3} \leq x \leq \frac{π}{3}