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Beliebt Funktionen >

extreme f(x)=x+log_{10}(1-x)

Lösung

extrempunkte

f (x) = x + lo g_{10} (1 - x)

Lösung

Maximum (- \frac{1}{ln ( 10 )} + 1, - \frac{1}{ln ( 10 )} + 1 + lo g_{10} (\frac{1}{ln ( 10 )}))

Schritte zur Lösung

f^{'} (x) = 1 + \frac{1}{ln ( 10 ) ( x - 1 )}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{ln ( 10 )} + 1,

Absteigend

: - \frac{1}{ln ( 10 )} + 1 < x < 1

Stecke

x = - \frac{1}{ln ( 10 )} + 1

in

x + lo g_{10} (1 - x) : - \frac{1}{ln ( 10 )} + 1 + lo g_{10} (\frac{1}{ln ( 10 )})

Maximum (- \frac{1}{ln ( 10 )} + 1, - \frac{1}{ln ( 10 )} + 1 + lo g_{10} (\frac{1}{ln ( 10 )}))

Graph

Beliebte Beispiele

extreme f(x)=-x^4+16x^3-16x+11

e x t re m e f (x) = - x^{4} + 16 x^{3} - 16 x + 11

extreme f(x)=x^3+x^2-5x

e x t re m e f (x) = x^{3} + x^{2} - 5 x

extreme f(x,y)=(x+2y-7)^2+(2x+y-5)^2

e x t re m e f (x, y) = (x + 2 y - 7)^{2} + (2 x + y - 5)^{2}

extreme f(x,y)=x^3-xy+y^3

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

extreme f(x)=x^2+(520)/x

e x t re m e f (x) = x^{2} + \frac{520}{x}