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Beliebt Funktionen >

extreme f(x)=x+sqrt(3-x)

Lösung

extrempunkte

f (x) = x + 3 - x

Lösung

Maximum (\frac{11}{4}, \frac{13}{4}), Minimum (3, 3)

Schritte zur Lösung

f^{'} (x) = 1 - \frac{1}{2 3 - x}

Intervalle finden:

Ansteigend

: - \infty < x < \frac{11}{4},

Absteigend

: \frac{11}{4} < x < 3

Stecke

x = \frac{11}{4}

in

x + 3 - x : \frac{13}{4}

Maximum (\frac{11}{4}, \frac{13}{4})

Stecke

x = 3

in

x + 3 - x : 3

Minimum (3, 3)

Maximum (\frac{11}{4}, \frac{13}{4}), Minimum (3, 3)

Graph

Beliebte Beispiele

extreme f(x)=x(25-46+2x)(46/2-x)

e x t re m e f (x) = x (25 - 46 + 2 x) (\frac{46}{2} - x)

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

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

extreme y=x^5-15x^3+100

e x t re m e y = x^{5} - 15 x^{3} + 100

extreme f(x)=(ln(x^2+1))

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

extreme f(x)=3x+5x^{-1}

e x t re m e f (x) = 3 x + 5 x^{- 1}