extreme f(x)=2x^2+(91.2)/x

Lösung

extrempunkte

f (x) = 2 x^{2} + \frac{91.2}{x}

Minimum (3 \frac{114}{5}, 48.24376 \dots)

Schritte zur Lösung

f^{'} (x) = 4 x - \frac{91.2}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2.83559 \dots,

Ansteigend

: 2.83559 \dots < x < \infty

Stecke

x = 3 \frac{114}{5}

2 x^{2} + \frac{91.2}{x} : 48.24376 \dots

Minimum (3 \frac{114}{5}, 48.24376 \dots)

e x t re m e P (a) = y^{2} - 4 r^{2} + r + e^{2}

e x t re m e f (t) = 25 cos (2 t)

e x t re m e f (x) = - 2 x^{3} + 24 x^{2} - 42 x + 7

e x t re m e f (x) = - 0.01 x^{2} + 120 x + 200000

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