extreme y=3xln(x)

Lösung

extrempunkte

y = 3 x ln (x)

Minimum (\frac{1}{e}, - \frac{3}{e})

Schritte zur Lösung

f^{'} (x) = 3 (ln (x) + 1)

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{1}{e}

3 x ln (x) : - \frac{3}{e}

Minimum (\frac{1}{e}, - \frac{3}{e})

e x t re m e f (x) = \frac{100000}{x} + 75000 + 1000 x

e x t re m e y = e^{x} - 3 e^{- x} - 4 x

e x t re m e f (x) = - 6 x^{3} - 54 x^{2} - 144 x - 90

e x t re m e f (x) = (\frac{x + y - x y}{x - y + x y})

e x t re m e 3 (x + 2) (x - 10)