extreme 21x^5+35x^4

Lösung

extrempunkte

21 x^{5} + 35 x^{4}

Maximum (- \frac{4}{3}, \frac{1792}{81}), Minimum (0, 0)

Schritte zur Lösung

f^{'} (x) = 105 x^{4} + 140 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{4}{3},

Absteigend

: - \frac{4}{3} < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - \frac{4}{3}

21 x^{5} + 35 x^{4} : \frac{1792}{81}

Maximum (- \frac{4}{3}, \frac{1792}{81})

Stecke

x = 0

21 x^{5} + 35 x^{4} : 0

Minimum (0, 0)

Maximum (- \frac{4}{3}, \frac{1792}{81}), Minimum (0, 0)

e x t re m e f (x) = \frac{x + 1}{x ^{2} - 8 x - 9}

e x t re m e f (x, y) = x^{2} + 4 y^{2} + 6

e x t re m e f (x) = - (x^{2} + 4 x - 4) (x + 2) (x - 1)

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

e x t re m e f (x, y) = 1 + x y - x - y