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Beliebt Funktionen >

extreme f(x)=2x^2-8x^4

Lösung

extrempunkte

f (x) = 2 x^{2} - 8 x^{4}

Lösung

Maximum (- \frac{1}{2 2}, \frac{1}{8}), Minimum (0, 0), Maximum (\frac{1}{2 2}, \frac{1}{8})

Schritte zur Lösung

f^{'} (x) = 4 x - 32 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{2 2},

Absteigend

: - \frac{1}{2 2} < x < 0,

Ansteigend

: 0 < x < \frac{1}{2 2},

Absteigend

: \frac{1}{2 2} < x < \infty

Stecke

x = - \frac{1}{2 2}

in

2 x^{2} - 8 x^{4} : \frac{1}{8}

Maximum (- \frac{1}{2 2}, \frac{1}{8})

Stecke

x = 0

in

2 x^{2} - 8 x^{4} : 0

Minimum (0, 0)

Stecke

x = \frac{1}{2 2}

in

2 x^{2} - 8 x^{4} : \frac{1}{8}

Maximum (\frac{1}{2 2}, \frac{1}{8})

Maximum (- \frac{1}{2 2}, \frac{1}{8}), Minimum (0, 0), Maximum (\frac{1}{2 2}, \frac{1}{8})

Graph

Beliebte Beispiele

extreme f(x)=-x^{2/3}(x-3),-3<= x<= 3

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

extreme x^{3/5}

e x t re m e x^{\frac{3}{5}}

extreme f(x)=(8.7x+0.2)/(x^2-4.5x+7.5)

e x t re m e f (x) = \frac{8.7 x + 0.2}{x ^{2} - 4.5 x + 7.5}

extreme f(t)=(e^t)/(t^2+1),(0,3)

e x t re m e f (t) = \frac{e ^{t}}{t ^{2} + 1}, (0, 3)

extreme f(x)=5x^3-5x^2-5x+7

e x t re m e f (x) = 5 x^{3} - 5 x^{2} - 5 x + 7