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Beliebt Funktionen >

extreme f(x)=(x^2)/(e^x)

Lösung

extrempunkte

f (x) = \frac{x ^{2}}{e ^{x}}

Lösung

Minimum (0, 0), Maximum (2, \frac{4}{e ^{2}})

Schritte zur Lösung

f^{'} (x) = \frac{x ( 2 - x )}{e ^{x}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

\frac{x ^{2}}{e ^{x}} : 0

Minimum (0, 0)

Stecke

x = 2

in

\frac{x ^{2}}{e ^{x}} : \frac{4}{e ^{2}}

Maximum (2, \frac{4}{e ^{2}})

Minimum (0, 0), Maximum (2, \frac{4}{e ^{2}})

Graph

Beliebte Beispiele

extreme F(I,J)=(-3I+2J)

e x t re m e F (I, J) = (- 3 I + 2 J)

extreme 0.5x^2-130x+17555

e x t re m e 0.5 x^{2} - 130 x + 17555

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

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

extreme f(x)=x^4-6x^2+9,0<= x<= 2

e x t re m e f (x) = x^{4} - 6 x^{2} + 9, 0 \leq x \leq 2

extreme f(x)=e^{-kx}

e x t re m e f (x) = e^{- k x}