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Beliebt Funktionen >

extreme f(x)=-5/4 x^2+5/2 x+7/4

Lösung

extrempunkte

f (x) = - \frac{5}{4} x^{2} + \frac{5}{2} x + \frac{7}{4}

Lösung

Maximum (1, 3)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 1

in

- \frac{5}{4} x^{2} + \frac{5}{2} x + \frac{7}{4} : 3

Maximum (1, 3)

Graph

Beliebte Beispiele

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

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

extreme-x^2+8x-9

e x t re m e - x^{2} + 8 x - 9

extreme f(x)=x^3-12x^2-27x+2,1<= x<= 10

e x t re m e f (x) = x^{3} - 12 x^{2} - 27 x + 2, 1 \leq x \leq 10

extreme f(x)=x^3-x^2-x-5

e x t re m e f (x) = x^{3} - x^{2} - x - 5

extreme f(x)=12-3x^2,(-2,5)

e x t re m e f (x) = 12 - 3 x^{2}, (- 2, 5)