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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = 3 x^{4} - 4 x^{3} + 5

Lösung

Sattel (0, 5), Minimum (1, 4)

Schritte zur Lösung

f^{'} (x) = 12 x^{3} - 12 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

3 x^{4} - 4 x^{3} + 5 : 5

Sattel (0, 5)

Stecke

x = 1

in

3 x^{4} - 4 x^{3} + 5 : 4

Minimum (1, 4)

Sattel (0, 5), Minimum (1, 4)

Graph

Beliebte Beispiele

extreme f(x)=-8x^{5/3}+\sqrt[3]{x}

e x t re m e f (x) = - 8 x^{\frac{5}{3}} + 3 x

extreme f(x,y)=xye^{-8y}

e x t re m e f (x, y) = x y e^{- 8 y}

extreme x^3+y^3-6y^2-3x+9

e x t re m e x^{3} + y^{3} - 6 y^{2} - 3 x + 9

extreme f(x)=\sqrt[3]{x}(8-x),0<= x<= 8

e x t re m e f (x) = 3 x (8 - x), 0 \leq x \leq 8

extreme f(x)=\sqrt[3]{x}(8-x)

e x t re m e f (x) = 3 x (8 - x)