extreme f(x)=-1/50 x^2+1.85x-8.5

Lösung

extrempunkte

f (x) = - \frac{1}{50} x^{2} + 1.85 x - 8.5

Maximum (\frac{185}{4}, 34.28125)

Schritte zur Lösung

f^{'} (x) = - 0.04 x + 1.85

Intervalle finden:

Ansteigend

: - \infty < x < \frac{185}{4},

Absteigend

: \frac{185}{4} < x < \infty

Stecke

x = \frac{185}{4}

- \frac{1}{50} x^{2} + 1.85 x - 8.5 : 34.28125

Maximum (\frac{185}{4}, 34.28125)

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

e x t re m e f (x, y) = x^{2} - 2 \cdot x + 2 \cdot y^{2} - 4 \cdot y

e x t re m e f (x) = 0.00397 t^{2} - 0.593 t + 33.718

e x t re m e f (x) = f (x) = e x - x, - 4 \leq x \leq 2

e x t re m e f (x) = 4 x^{2} - 48 x + 190