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Beliebt Funktionen >

extreme f(x)= 3/2 t^4-t^6

Lösung

extrempunkte

f (x) = \frac{3}{2} t^{4} - t^{6}

Lösung

Maximum (- 1, \frac{1}{2}), Minimum (0, 0), Maximum (1, \frac{1}{2})

Schritte zur Lösung

f^{'} (t) = 6 t^{3} - 6 t^{5}

Intervalle finden:

Ansteigend

: - \infty < t < - 1,

Absteigend

: - 1 < t < 0,

Ansteigend

: 0 < t < 1,

Absteigend

: 1 < t < \infty

Stecke

t = - 1

in

\frac{3}{2} t^{4} - t^{6} : \frac{1}{2}

Maximum (- 1, \frac{1}{2})

Stecke

t = 0

in

\frac{3}{2} t^{4} - t^{6} : 0

Minimum (0, 0)

Stecke

t = 1

in

\frac{3}{2} t^{4} - t^{6} : \frac{1}{2}

Maximum (1, \frac{1}{2})

Maximum (- 1, \frac{1}{2}), Minimum (0, 0), Maximum (1, \frac{1}{2})

Graph

Beliebte Beispiele

extreme f(x,y)=-x^2-y^3+3y^2-2x+45y+1

e x t re m e f (x, y) = - x^{2} - y^{3} + 3 y^{2} - 2 x + 45 y + 1

extreme y=-12x^5-45x^4+20x^3-1

e x t re m e y = - 12 x^{5} - 45 x^{4} + 20 x^{3} - 1

extreme f(x)=x^3-2x-4x+4(0.3)

e x t re m e f (x) = x^{3} - 2 x - 4 x + 4 (0.3)

extreme x^2+x^{-2}

e x t re m e x^{2} + x^{- 2}

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

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