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Beliebt Funktionen >

extreme f(x)=x^2-9x+20-ln(x-3)

Lösung

extrempunkte

f (x) = x^{2} - 9 x + 20 - ln (x - 3)

Lösung

Minimum (\frac{15 + 17}{4}, - ln (\frac{15 + 17}{4} - 3) + \frac{- 149 - 3 17}{8} + 20)

Schritte zur Lösung

f^{'} (x) = 2 x - \frac{1}{x - 3} - 9

Intervalle finden:

Absteigend

: 3 < x < \frac{15 + 17}{4},

Ansteigend

: \frac{15 + 17}{4} < x < \infty

Stecke

x = \frac{15 + 17}{4}

in

x^{2} - 9 x + 20 - ln (x - 3) : - ln (\frac{15 + 17}{4} - 3) + \frac{- 149 - 3 17}{8} + 20

Minimum (\frac{15 + 17}{4}, - ln (\frac{15 + 17}{4} - 3) + \frac{- 149 - 3 17}{8} + 20)

Graph

Beliebte Beispiele

invers f(x)=-2x-5

in v erse f (x) = - 2 x - 5

extreme f(x)=(1.7)(3.5)

e x t re m e f (x) = (1.7) (3.5)

domäne (2x^2+2x-12)/(x^2+x)

d o main \frac{2 x ^{2} + 2 x - 12}{x ^{2} + x}

s l o p e y - 4 = 0

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

p a r i t y f (x) = 2 x^{5} - x^{3}