extreme f(x)=x^3-5x^2-8x-4

Lösung

extrempunkte

f (x) = x^{3} - 5 x^{2} - 8 x - 4

Maximum (- \frac{2}{3}, - \frac{32}{27}), Minimum (4, - 52)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 10 x - 8

Intervalle finden:

Ansteigend

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

Absteigend

: - \frac{2}{3} < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = - \frac{2}{3}

x^{3} - 5 x^{2} - 8 x - 4 : - \frac{32}{27}

Maximum (- \frac{2}{3}, - \frac{32}{27})

Stecke

x = 4

x^{3} - 5 x^{2} - 8 x - 4 : - 52

Minimum (4, - 52)

Maximum (- \frac{2}{3}, - \frac{32}{27}), Minimum (4, - 52)

d o main f (x) = \frac{2}{4 - 3 x + x ^{2}}

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

d o main f (x) = (x + 4)^{2}

p a r i t y f (x) = \frac{- x}{x}

in v erse f (x) = \frac{( 1 - 2 x )}{1 - 3 x}