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Beliebt Funktionen >

extreme f(x)=(6x^5)/5-15x^3-81x+2

Lösung

extrempunkte

f (x) = \frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2

Lösung

Maximum (- 3, \frac{1792}{5}), Minimum (3, - \frac{1772}{5})

Schritte zur Lösung

f^{'} (x) = 6 x^{4} - 45 x^{2} - 81

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 3

in

\frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2 : \frac{1792}{5}

Maximum (- 3, \frac{1792}{5})

Stecke

x = 3

in

\frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2 : - \frac{1772}{5}

Minimum (3, - \frac{1772}{5})

Maximum (- 3, \frac{1792}{5}), Minimum (3, - \frac{1772}{5})

Graph

Beliebte Beispiele

extreme-0.1t^20.8t+98.8

e x t re m e - 0.1 t^{2} 0.8 t + 98.8

extreme f(x)=x^4+x^3-3x^2-5x-2

e x t re m e f (x) = x^{4} + x^{3} - 3 x^{2} - 5 x - 2

extreme f(x)=cos(pix),0<= x<= 1/6

e x t re m e f (x) = cos (π x), 0 \leq x \leq \frac{1}{6}

extreme f(x)=-2x^3+12x

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

extreme f(x,y)=6e^{-2x-2y}

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