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Beliebt Funktionen >

extreme f(x)=-0.018x^3+0.215x^2+0.057x+1

Lösung

extrempunkte

f (x) = - 0.018 x^{3} + 0.215 x^{2} + 0.057 x + 1

Lösung

Minimum (- \frac{- 215 + 49303}{54}, 0.99626 \dots), Maximum (\frac{215 + 49303}{54}, 6.00192 \dots)

Schritte zur Lösung

f^{'} (x) = - 0.054 x^{2} + 0.43 x + 0.057

Intervalle finden:

Absteigend

: - \infty < x < - 0.13042 \dots,

Ansteigend

: - 0.13042 \dots < x < 8.09338 \dots,

Absteigend

: 8.09338 \dots < x < \infty

Stecke

x = - \frac{- 215 + 49303}{54}

in

- 0.018 x^{3} + 0.215 x^{2} + 0.057 x + 1 : 0.99626 \dots

Minimum (- \frac{- 215 + 49303}{54}, 0.99626 \dots)

Stecke

x = \frac{215 + 49303}{54}

in

- 0.018 x^{3} + 0.215 x^{2} + 0.057 x + 1 : 6.00192 \dots

Maximum (\frac{215 + 49303}{54}, 6.00192 \dots)

Minimum (- \frac{- 215 + 49303}{54}, 0.99626 \dots), Maximum (\frac{215 + 49303}{54}, 6.00192 \dots)

Graph

Beliebte Beispiele

extreme f(x)=2x^3+9x^2-60x+7,-5<= x<= 5

e x t re m e f (x) = 2 x^{3} + 9 x^{2} - 60 x + 7, - 5 \leq x \leq 5

extreme f(x)=(x+2)^2(x-3)^3

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

extreme f(x,y)=-2x^2+5y^2-9x+9y+6

e x t re m e f (x, y) = - 2 x^{2} + 5 y^{2} - 9 x + 9 y + 6

extreme f(x)=x^3+y^2-3x-4y+7

e x t re m e f (x) = x^{3} + y^{2} - 3 x - 4 y + 7

extreme x^5-15x^3+3

e x t re m e x^{5} - 15 x^{3} + 3