inflection x^4-50x^2+5

Lösung

wendepunkte

x^{4} - 50 x^{2} + 5

(- \frac{5}{3}, - \frac{3080}{9}), (\frac{5}{3}, - \frac{3080}{9})

Schritte zur Lösung

f^{''} (x) = 12 x^{2} - 100

Intervalle finden:

Konkav steigend

: - \infty < x < - \frac{5}{3},

Konkav fallend

: - \frac{5}{3} < x < \frac{5}{3},

Konkav steigend

: \frac{5}{3} < x < \infty

Stecke

x = - \frac{5}{3}

x^{4} - 50 x^{2} + 5 : - \frac{3080}{9}

(- \frac{5}{3}, - \frac{3080}{9})

Stecke

x = \frac{5}{3}

x^{4} - 50 x^{2} + 5 : - \frac{3080}{9}

(\frac{5}{3}, - \frac{3080}{9})

(- \frac{5}{3}, - \frac{3080}{9}), (\frac{5}{3}, - \frac{3080}{9})

e x t re m e f (x) = x^{3} + 3 x^{2} + 1

s l o p e in t erce pt 3 x - 5 y = 4

d o main - (\frac{1}{3})^{x}

d o main x^{2} - 2 x + 3

in v erse f (x) = 2 x + 13