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Beliebt Funktionen >

extreme f(x)=5x^2-4x+4

Lösung

extrempunkte

f (x) = 5 x^{2} - 4 x + 4

Lösung

Minimum (\frac{2}{5}, \frac{16}{5})

Schritte zur Lösung

f^{'} (x) = 10 x - 4

Intervalle finden:

Absteigend

: - \infty < x < \frac{2}{5},

Ansteigend

: \frac{2}{5} < x < \infty

Stecke

x = \frac{2}{5}

in

5 x^{2} - 4 x + 4 : \frac{16}{5}

Minimum (\frac{2}{5}, \frac{16}{5})

Graph

Beliebte Beispiele

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

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

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

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

extreme 1/(x^3-2x)

e x t re m e \frac{1}{x ^{3} - 2 x}

extreme f(x,y)=4y^3x^2-12y^2-36y+2

e x t re m e f (x, y) = 4 y^{3} x^{2} - 12 y^{2} - 36 y + 2

extreme f(x)=-2x^3+39x^2-240,4<= x<= 9

e x t re m e f (x) = - 2 x^{3} + 39 x^{2} - 240, 4 \leq x \leq 9