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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (- \frac{3}{2}, - \frac{1}{2 e ^{3}})

Schritte zur Lösung

f^{'} (x) = e^{2 x} (2 x + 3)

Intervalle finden:

Absteigend

: - \infty < x < - \frac{3}{2},

Ansteigend

: - \frac{3}{2} < x < \infty

Stecke

x = - \frac{3}{2}

in

(x + 1) e^{2 x} : - \frac{1}{2 e ^{3}}

Minimum (- \frac{3}{2}, - \frac{1}{2 e ^{3}})

Graph

Beliebte Beispiele

extreme f(x)=x^2+5x-77

e x t re m e f (x) = x^{2} + 5 x - 77

extreme f(x)=x^5-5x^4+5x^3-10

e x t re m e f (x) = x^{5} - 5 x^{4} + 5 x^{3} - 10

extreme f(x)=8x-8ln(x^2),(0,+infinity)

e x t re m e f (x) = 8 x - 8 ln (x^{2}), (0, + \infty)

extreme f(x,y)=7x^2y-8xy^3+9y^3

e x t re m e f (x, y) = 7 x^{2} y - 8 x y^{3} + 9 y^{3}

extreme (8-x^3)/(x^2)

e x t re m e \frac{8 - x ^{3}}{x ^{2}}