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Beliebt Funktionen >

extreme f(x)=8-5x+x^2

Lösung

extrempunkte

f (x) = 8 - 5 x + x^{2}

Lösung

Minimum (\frac{5}{2}, \frac{7}{4})

Schritte zur Lösung

f^{'} (x) = 2 x - 5

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{5}{2}

in

8 - 5 x + x^{2} : \frac{7}{4}

Minimum (\frac{5}{2}, \frac{7}{4})

Graph

Beliebte Beispiele

extreme 1/3 x^3-9x^2+72x+2

e x t re m e \frac{1}{3} x^{3} - 9 x^{2} + 72 x + 2

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

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

extreme xsqrt(9-x)

e x t re m e x 9 - x

extreme f(x)= 1/4 e^x+e^{-x}

e x t re m e f (x) = \frac{1}{4} e^{x} + e^{- x}

extreme f(x)=(5x)/(x^2+16),0<= x<= 12

e x t re m e f (x) = \frac{5 x}{x ^{2} + 16}, 0 \leq x \leq 12