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Beliebt Funktionen >

extreme f(x)=(x+10)((60)/x+6)

Lösung

extrempunkte

f (x) = (x + 10) (\frac{60}{x} + 6)

Lösung

Maximum (- 10, 0), Minimum (10, 240)

Schritte zur Lösung

f^{'} (x) = - \frac{600}{x ^{2}} + 6

Intervalle finden:

Ansteigend

: - \infty < x < - 10,

Absteigend

: - 10 < x < 0,

Absteigend

: 0 < x < 10,

Ansteigend

: 10 < x < \infty

Stecke

x = - 10

in

(x + 10) (\frac{60}{x} + 6) : 0

Maximum (- 10, 0)

Stecke

x = 10

in

(x + 10) (\frac{60}{x} + 6) : 240

Minimum (10, 240)

Maximum (- 10, 0), Minimum (10, 240)

Graph

Beliebte Beispiele

extreme f(x)= 1/2 x^4-4x^2+5

e x t re m e f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 5

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

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

extreme f(x)=-3x^2+180x+190,0<= x<= 40

e x t re m e f (x) = - 3 x^{2} + 180 x + 190, 0 \leq x \leq 40

extreme f(x)=(x+2)^{2/3}(x-2)^{1/3}

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

extreme f(x)=-x^3-6x^2+6

e x t re m e f (x) = - x^{3} - 6 x^{2} + 6