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Beliebt Funktionen >

inflection f(x)=x^2ln(x/8)

Lösung

wendepunkte

f (x) = x^{2} ln (\frac{x}{8})

Lösung

(\frac{8}{e ^{\frac{3}{2}}}, - \frac{96}{e ^{3}})

Schritte zur Lösung

f^{''} (x) = 2 ln (\frac{x}{8}) + 3

Intervalle finden:

Konkav fallend

: 0 < x < \frac{8}{e ^{\frac{3}{2}}},

Konkav steigend

: \frac{8}{e ^{\frac{3}{2}}} < x < \infty

Stecke

x = \frac{8}{e ^{\frac{3}{2}}}

in

x^{2} ln (\frac{x}{8}) : - \frac{96}{e ^{3}}

(\frac{8}{e ^{\frac{3}{2}}}, - \frac{96}{e ^{3}})

Graph

Beliebte Beispiele

domäne f(x)=(9-x^2)/(2x^2)

d o main f (x) = \frac{9 - x ^{2}}{2 x ^{2}}

interzeption x^4-x^3-13x^2+25x-12

in t erce pt s x^{4} - x^{3} - 13 x^{2} + 25 x - 12

invers f(x)=x^2-8x+4

in v erse f (x) = x^{2} - 8 x + 4

domäne f(x)=sqrt((9-x^2)(x+1))

d o main f (x) = (9 - x^{2}) (x + 1)

mittelpunkt (-8,-3),(2,3)

mi d p o in t (- 8, - 3), (2, 3)