inflection f(x)= 1/6 x^4-31x^2

Lösung

wendepunkte

f (x) = \frac{1}{6} x^{4} - 31 x^{2}

(- 31, - \frac{4805}{6}), (31, - \frac{4805}{6})

Schritte zur Lösung

f^{''} (x) = 2 x^{2} - 62

Intervalle finden:

Konkav steigend

: - \infty < x < - 31,

Konkav fallend

: - 31 < x < 31,

Konkav steigend

: 31 < x < \infty

Stecke

x = - 31

\frac{1}{6} x^{4} - 31 x^{2} : - \frac{4805}{6}

(- 31, - \frac{4805}{6})

Stecke

x = 31

\frac{1}{6} x^{4} - 31 x^{2} : - \frac{4805}{6}

(31, - \frac{4805}{6})

(- 31, - \frac{4805}{6}), (31, - \frac{4805}{6})

in v erse f (x) = \frac{3}{x - 3} - 2

d o main f (x) = - \frac{13}{( t + 2 ) ^{2}}

a sy m pt o t es y = \frac{x ^{2} - 9}{x ^{2} + 5 x}

sy mm e t ry y = - 3 x + 1

in v erse f (x) = \frac{5000}{x} - 300