inflection (x-2)/(sqrt(x^2+1))

Lösung

wendepunkte

\frac{x - 2}{x ^{2} + 1}

(- \frac{3 + 41}{8}, \frac{- 19 - 41}{2 57 + 3 41}), (\frac{41 - 3}{8}, \frac{41 - 19}{2 57 - 3 41})

Schritte zur Lösung

f^{''} (x) = \frac{- 4 x ^{2} - 3 x + 2}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

Intervalle finden:

Konkav fallend

: - \infty < x < - \frac{3 + 41}{8},

Konkav steigend

: - \frac{3 + 41}{8} < x < \frac{41 - 3}{8},

Konkav fallend

: \frac{41 - 3}{8} < x < \infty

Stecke

x = - \frac{3 + 41}{8}

\frac{x - 2}{x ^{2} + 1} : \frac{- 19 - 41}{2 57 + 3 41}

(- \frac{3 + 41}{8}, \frac{- 19 - 41}{2 57 + 3 41})

Stecke

x = \frac{41 - 3}{8}

\frac{x - 2}{x ^{2} + 1} : \frac{41 - 19}{2 57 - 3 41}

(\frac{41 - 3}{8}, \frac{41 - 19}{2 57 - 3 41})

(- \frac{3 + 41}{8}, \frac{- 19 - 41}{2 57 + 3 41}), (\frac{41 - 3}{8}, \frac{41 - 19}{2 57 - 3 41})

d o main f (x) = 6 x - 30

d o main 2 x + 1

in v erse f (x) = (x + 2)^{5} + 2

p er i o d i c i t y f (x) = cos (\frac{8 π}{31})

d o main x^{2} + 10 x + 25