extreme 0.01x^3-0.45x^2+2x+300

Lösung

extrempunkte

0.01 x^{3} - 0.45 x^{2} + 2 x + 300

Maximum (\frac{5 ( 9 - 57 )}{3}, 302.34634 \dots), Minimum (\frac{5 ( 9 + 57 )}{3}, 222.65365 \dots)

Schritte zur Lösung

f^{'} (x) = 0.03 x^{2} - 0.9 x + 2

Intervalle finden:

Ansteigend

: - \infty < x < 2.41694 \dots,

Absteigend

: 2.41694 \dots < x < 27.58305 \dots,

Ansteigend

: 27.58305 \dots < x < \infty

Stecke

x = \frac{5 ( 9 - 57 )}{3}

0.01 x^{3} - 0.45 x^{2} + 2 x + 300 : 302.34634 \dots

Maximum (\frac{5 ( 9 - 57 )}{3}, 302.34634 \dots)

Stecke

x = \frac{5 ( 9 + 57 )}{3}

0.01 x^{3} - 0.45 x^{2} + 2 x + 300 : 222.65365 \dots

Minimum (\frac{5 ( 9 + 57 )}{3}, 222.65365 \dots)

Maximum (\frac{5 ( 9 - 57 )}{3}, 302.34634 \dots), Minimum (\frac{5 ( 9 + 57 )}{3}, 222.65365 \dots)

e x t re m e x e^{\frac{2}{x}}

e x t re m e 50000 x + 40000 y - 10 x^{2} - 20 y^{2} - 10 x y

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

e x t re m e f (x) = 10 - 8 x^{2}

e x t re m e f (x) = ∣ - 4 x - 5 ∣, - 5 < x < 1