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Beliebt Funktionen >

extreme f(x)=e^{-(x-1)^2}

Lösung

extrempunkte

f (x) = e^{- (x - 1)^{2}}

Lösung

Maximum (1, 1)

Schritte zur Lösung

f^{'} (x) = e^{- x^{2} + 2 x - 1} (- 2 x + 2)

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 1

in

e^{- (x - 1)^{2}} : 1

Maximum (1, 1)

Graph

Beliebte Beispiele

extreme f(x,y)= 1/3 x^3+y^3+2x^2-12x-3y

e x t re m e f (x, y) = \frac{1}{3} x^{3} + y^{3} + 2 x^{2} - 12 x - 3 y

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

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

extreme f(x)e^{2x}(x^2-3x+2)

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

extreme f(x,y)=3x^3-5y^2-225x+70y+23

e x t re m e f (x, y) = 3 x^{3} - 5 y^{2} - 225 x + 70 y + 23

extreme 2x^3+9x^2+12x+1

e x t re m e 2 x^{3} + 9 x^{2} + 12 x + 1