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Beliebt Funktionen >

extreme f(x)=2(5x)^x

Lösung

extrempunkte

f (x) = 2 (5 x)^{x}

Lösung

Minimum (\frac{1}{5 e}, 2 (\frac{1}{e})^{\frac{1}{5 e}})

Schritte zur Lösung

f^{'} (x) = 2 (ln (5 x) + 1) (5 x)^{x}

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{5 e},

Ansteigend

: \frac{1}{5 e} < x < \infty

Stecke

x = \frac{1}{5 e}

in

2 (5 x)^{x} : 2 (\frac{1}{e})^{\frac{1}{5 e}}

Minimum (\frac{1}{5 e}, 2 (\frac{1}{e})^{\frac{1}{5 e}})

Graph

Beliebte Beispiele

extreme f(x,y)=sqrt(400-16x^2-81y^2)

e x t re m e f (x, y) = 400 - 16 x^{2} - 81 y^{2}

extreme f(x)=ln(7+x^2)

e x t re m e f (x) = ln (7 + x^{2})

extreme y=-x^3+3/2 x^2+18x

e x t re m e y = - x^{3} + \frac{3}{2} x^{2} + 18 x

e x t re m e 3 x + 3

extreme (x-2)^3+1

e x t re m e (x - 2)^{3} + 1