extreme y=5-(x+1)^2

Lösung

extrempunkte

y = 5 - (x + 1)^{2}

Maximum (- 1, 5)

Schritte zur Lösung

f^{'} (x) = - 2 x - 2

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < \infty

Stecke

x = - 1

5 - (x + 1)^{2} : 5

Maximum (- 1, 5)

e x t re m e f (x, y) = - x^{2} + 5 y^{2} + 10 x - 10 y - 28

e x t re m e f (x) = x - 4 x

e x t re m e f (x) = x^{2} + \frac{360}{x}, [0, \infty]

e x t re m e f (x) = x^{2} y + x y^{2}

e x t re m e f (x) = x^{2} - 6 x + 11