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Beliebt Funktionen >

extreme f(x)=4x^3-39x^2+90x-6

Lösung

extrempunkte

f (x) = 4 x^{3} - 39 x^{2} + 90 x - 6

Lösung

Maximum (\frac{3}{2}, \frac{219}{4}), Minimum (5, - 31)

Schritte zur Lösung

f^{'} (x) = 12 x^{2} - 78 x + 90

Intervalle finden:

Ansteigend

: - \infty < x < \frac{3}{2},

Absteigend

: \frac{3}{2} < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = \frac{3}{2}

in

4 x^{3} - 39 x^{2} + 90 x - 6 : \frac{219}{4}

Maximum (\frac{3}{2}, \frac{219}{4})

Stecke

x = 5

in

4 x^{3} - 39 x^{2} + 90 x - 6 : - 31

Minimum (5, - 31)

Maximum (\frac{3}{2}, \frac{219}{4}), Minimum (5, - 31)

Graph

Beliebte Beispiele

extreme f(x)=2x^5ln(x),(0,10)

e x t re m e f (x) = 2 x^{5} ln (x), (0, 10)

extreme f(x)=(2x-7)/x

e x t re m e f (x) = \frac{2 x - 7}{x}

extreme p(x)=9x^4+9x^2-18

e x t re m e p (x) = 9 x^{4} + 9 x^{2} - 18

extreme f(x)=2x^3+6x^2-48x+6[4.6]

e x t re m e f (x) = 2 x^{3} + 6 x^{2} - 48 x + 6 [4.6]

extreme f(x)=3sin(x),-pi<= x<= 2pi

e x t re m e f (x) = 3 sin (x), - π \leq x \leq 2 π