extreme-0.2x^3-0.7x^2+3x-6

Lösung

extrempunkte

- 0.2 x^{3} - 0.7 x^{2} + 3 x - 6

Minimum (- \frac{7 + 229}{6}, - 16.55259 \dots), Maximum (\frac{229 - 7}{6}, - 3.71777 \dots)

Schritte zur Lösung

f^{'} (x) = - 0.6 x^{2} - 1.4 x + 3

Intervalle finden:

Absteigend

: - \infty < x < - 3.68879 \dots,

Ansteigend

: - 3.68879 \dots < x < 1.35545 \dots,

Absteigend

: 1.35545 \dots < x < \infty

Stecke

x = - \frac{7 + 229}{6}

- 0.2 x^{3} - 0.7 x^{2} + 3 x - 6 : - 16.55259 \dots

Minimum (- \frac{7 + 229}{6}, - 16.55259 \dots)

Stecke

x = \frac{229 - 7}{6}

- 0.2 x^{3} - 0.7 x^{2} + 3 x - 6 : - 3.71777 \dots

Maximum (\frac{229 - 7}{6}, - 3.71777 \dots)

Minimum (- \frac{7 + 229}{6}, - 16.55259 \dots), Maximum (\frac{229 - 7}{6}, - 3.71777 \dots)

e x t re m e h (t) = \frac{t}{t - 2} [3.5]

\frac{d}{d t} ((r^{3} - 2 r^{2} + 6 t + 2) 3)

e x t re m e f (x) = \frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 10

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

e x t re m e y = 3 x^{2} = 12 x + 11