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Beliebt Funktionen >

extreme f(x)=-x^3+27x-62

Lösung

extrempunkte

f (x) = - x^{3} + 27 x - 62

Lösung

Minimum (- 3, - 116), Maximum (3, - 8)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 27

Intervalle finden:

Absteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = - 3

in

- x^{3} + 27 x - 62 : - 116

Minimum (- 3, - 116)

Stecke

x = 3

in

- x^{3} + 27 x - 62 : - 8

Maximum (3, - 8)

Minimum (- 3, - 116), Maximum (3, - 8)

Graph

Beliebte Beispiele

extreme P(a,c)=a+7+c

e x t re m e P (a, c) = a + 7 + c

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

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

extreme P(x,y)=2x+2y-x^2+y^2

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

extreme f(x)=x^3-3/2 x^2,-1<= x<= 4

e x t re m e f (x) = x^{3} - \frac{3}{2} x^{2}, - 1 \leq x \leq 4

extreme f(x)=2x^3+3x^2+4,-2<= x<= 1

e x t re m e f (x) = 2 x^{3} + 3 x^{2} + 4, - 2 \leq x \leq 1