inflection (x^2-4)^4

Lösung

wendepunkte

(x^{2} - 4)^{4}

(- \frac{2}{7}, \frac{331776}{2401}), (\frac{2}{7}, \frac{331776}{2401})

Schritte zur Lösung

f^{''} (x) = 8 ((x^{2} - 4)^{3} + 6 x^{2} (x^{2} - 4)^{2})

Intervalle finden:

Konkav steigend

: - \infty < x < - 2,

Konkav steigend

: - 2 < x < - \frac{2}{7},

Konkav fallend

: - \frac{2}{7} < x < \frac{2}{7},

Konkav steigend

: \frac{2}{7} < x < 2,

Konkav steigend

: 2 < x < \infty

Stecke

x = - \frac{2}{7}

(x^{2} - 4)^{4} : \frac{331776}{2401}

(- \frac{2}{7}, \frac{331776}{2401})

Stecke

x = \frac{2}{7}

(x^{2} - 4)^{4} : \frac{331776}{2401}

(\frac{2}{7}, \frac{331776}{2401})

(- \frac{2}{7}, \frac{331776}{2401}), (\frac{2}{7}, \frac{331776}{2401})

r an g e \frac{2}{3} (x - 2)^{2} - 5

r an g e f (x) = x^{2} + 2 x

in v erse f (x) = \frac{x + 6}{x - 7}

r an g e f (x) = \frac{x + 1}{x ^{2} - 4}

r an g e f (x) = x^{2} - x - 2