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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, 2), Minimum (\frac{12}{5}, - \frac{55958}{3125})

Schritte zur Lösung

f^{'} (x) = 5 x^{4} - 12 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{12}{5},

Ansteigend

: \frac{12}{5} < x < \infty

Stecke

x = 0

in

x^{5} - 3 x^{4} + 2 : 2

Maximum (0, 2)

Stecke

x = \frac{12}{5}

in

x^{5} - 3 x^{4} + 2 : - \frac{55958}{3125}

Minimum (\frac{12}{5}, - \frac{55958}{3125})

Maximum (0, 2), Minimum (\frac{12}{5}, - \frac{55958}{3125})

Graph

Beliebte Beispiele

extreme f(x)=-x^2-7y^2+9x-6y+2

e x t re m e f (x) = - x^{2} - 7 y^{2} + 9 x - 6 y + 2

extreme (3x)/(sqrt(x-8))

e x t re m e \frac{3 x}{x - 8}

e x t re m e 2 x^{3} - 1

extreme 2x^2+20x-6

e x t re m e 2 x^{2} + 20 x - 6

extreme x^{2/5}

e x t re m e x^{\frac{2}{5}}