extreme-x^3+4x^2+3x+4

Lösung

extrempunkte

- x^{3} + 4 x^{2} + 3 x + 4

Minimum (- \frac{1}{3}, \frac{94}{27}), Maximum (3, 22)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - \frac{1}{3},

Ansteigend

: - \frac{1}{3} < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = - \frac{1}{3}

- x^{3} + 4 x^{2} + 3 x + 4 : \frac{94}{27}

Minimum (- \frac{1}{3}, \frac{94}{27})

Stecke

x = 3

- x^{3} + 4 x^{2} + 3 x + 4 : 22

Maximum (3, 22)

Minimum (- \frac{1}{3}, \frac{94}{27}), Maximum (3, 22)

in v erse f (x) = 4^{x} + 3

r an g e f (x) = 120 (7)^{x}

e x t re m e f (x) = - 4 x^{3} + 6 x^{2} + 1

e x t re m e f (x) = - x^{3} + 3 x - 6

p er i o d i c i t y f (x) = 5 sin (\frac{1}{4} π x - π) - 3