extreme f(x)=-x^3+3x^2+429x+5242

Lösung

extrempunkte

f (x) = - x^{3} + 3 x^{2} + 429 x + 5242

Minimum (- 11, 2217), Maximum (13, 9129)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 6 x + 429

Intervalle finden:

Absteigend

: - \infty < x < - 11,

Ansteigend

: - 11 < x < 13,

Absteigend

: 13 < x < \infty

Stecke

x = - 11

- x^{3} + 3 x^{2} + 429 x + 5242 : 2217

Minimum (- 11, 2217)

Stecke

x = 13

- x^{3} + 3 x^{2} + 429 x + 5242 : 9129

Maximum (13, 9129)

Minimum (- 11, 2217), Maximum (13, 9129)

e x t re m e f (t) = 108 t - t^{3}

e x t re m e f (x) = 2 x^{3} + 6 x^{2} - 90 x + 1, - 5 \leq x \leq 7

e x t re m e f (x) = x^{4} + 2 x^{3} - 2 x^{2} + 2 x + 1

e x t re m e \frac{1}{2 π} e^{- (x - 3)^{\frac{2}{2}}}

e x t re m e f (x) = 4 (e^{- 0.05 x} - e^{- 0.55 x})