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Beliebt Funktionen >

extreme f(x)=x^3-2x^2-15x+3

Lösung

extrempunkte

f (x) = x^{3} - 2 x^{2} - 15 x + 3

Lösung

Maximum (- \frac{5}{3}, \frac{481}{27}), Minimum (3, - 33)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 4 x - 15

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{5}{3},

Absteigend

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

Ansteigend

: 3 < x < \infty

Stecke

x = - \frac{5}{3}

in

x^{3} - 2 x^{2} - 15 x + 3 : \frac{481}{27}

Maximum (- \frac{5}{3}, \frac{481}{27})

Stecke

x = 3

in

x^{3} - 2 x^{2} - 15 x + 3 : - 33

Minimum (3, - 33)

Maximum (- \frac{5}{3}, \frac{481}{27}), Minimum (3, - 33)

Graph

Beliebte Beispiele

extreme g(x)=2x^3-3x^2-12x+13

e x t re m e g (x) = 2 x^{3} - 3 x^{2} - 12 x + 13

extreme F(x,y)=(1+x^2+y^2)/(1-x^2-y^2)

e x t re m e F (x, y) = \frac{1 + x ^{2} + y ^{2}}{1 - x ^{2} - y ^{2}}

extreme f(x)=-2x^2-3x+5

e x t re m e f (x) = - 2 x^{2} - 3 x + 5

extreme f(x,y)=y*ln(x)

e x t re m e f (x, y) = y \cdot ln (x)

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

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