extreme f(x)=0.07x^3-1.6x^2+7.08x+5.48

Lösung

extrempunkte

f (x) = 0.07 x^{3} - 1.6 x^{2} + 7.08 x + 5.48

Maximum (\frac{2 ( 80 - 2683 )}{21}, 14.31001 \dots), Minimum (\frac{2 ( 80 + 2683 )}{21}, - 19.30405 \dots)

Schritte zur Lösung

f^{'} (x) = 0.21 x^{2} - 3.2 x + 7.08

Intervalle finden:

Ansteigend

: - \infty < x < 2.68593 \dots,

Absteigend

: 2.68593 \dots < x < 12.55216 \dots,

Ansteigend

: 12.55216 \dots < x < \infty

Stecke

x = \frac{2 ( 80 - 2683 )}{21}

0.07 x^{3} - 1.6 x^{2} + 7.08 x + 5.48 : 14.31001 \dots

Maximum (\frac{2 ( 80 - 2683 )}{21}, 14.31001 \dots)

Stecke

x = \frac{2 ( 80 + 2683 )}{21}

0.07 x^{3} - 1.6 x^{2} + 7.08 x + 5.48 : - 19.30405 \dots

Minimum (\frac{2 ( 80 + 2683 )}{21}, - 19.30405 \dots)

Maximum (\frac{2 ( 80 - 2683 )}{21}, 14.31001 \dots), Minimum (\frac{2 ( 80 + 2683 )}{21}, - 19.30405 \dots)

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

e x t re m e f (x) = t - 3 t

e x t re m e f (x) = 3

e x t re m e \frac{4 x ^{2}}{x ^{2} - 25}

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