extreme f(x)=(12x)/(3.5x^2+2.5)

Lösung

extrempunkte

f (x) = \frac{12 x}{3.5 x ^{2} + 2.5}

Minimum (- \frac{7.14286 E 15}{1.0 E 16}, - 2.02837 \dots), Maximum (\frac{7.14286 E 15}{1.0 E 16}, 2.02837 \dots)

Schritte zur Lösung

f^{'} (x) = \frac{12 ( - 3.5 x ^{2} + 2.5 )}{( 3.5 x ^{2} + 2.5 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 0.84515 \dots,

Ansteigend

: - 0.84515 \dots < x < 0.84515 \dots,

Absteigend

: 0.84515 \dots < x < \infty

Stecke

x = - \frac{7.14286 E 15}{1.0 E 16}

\frac{12 x}{3.5 x ^{2} + 2.5} : - 2.02837 \dots

Minimum (- \frac{7.14286 E 15}{1.0 E 16}, - 2.02837 \dots)

Stecke

x = \frac{7.14286 E 15}{1.0 E 16}

\frac{12 x}{3.5 x ^{2} + 2.5} : 2.02837 \dots

Maximum (\frac{7.14286 E 15}{1.0 E 16}, 2.02837 \dots)

Minimum (- \frac{7.14286 E 15}{1.0 E 16}, - 2.02837 \dots), Maximum (\frac{7.14286 E 15}{1.0 E 16}, 2.02837 \dots)

e x t re m e f (y) = 14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

e x t re m e f (x) = x (152 - x)

e x t re m e f (x, y) = 7 x^{2} y + 9 x y^{2}

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

e x t re m e f (x) = 165000 x - 100 x^{2}