Give-the-function-f-x-x-1-x-2-2-x-3-3-x-4-4-x-2022-2022-Find-extremes-of-f-x-

Question Number 196710 by tri26112004 last updated on 30/Aug/23

G i v e t h e f u n c t i o n :

f (x) = (x - 1) {(x - 2)}^{2} {(x - 3)}^{3} {(x - 4)}^{4} \dots {(x - 2022)}^{2022}

F i n d e x t r e m e s o f f (x) ¿

Commented by mr W last updated on 30/Aug/23

i {d o n}^{'} t t h i n k t h e y c a n b e e x a c t l y

d e t e r m i n e d, b e c a u s e w e {c a n}^{'} t e x a c t l y

s o l v e t h e e q u a t i o n f^{'} (x) = 0, i . e .

\ln ∣ x - 1 ∣ + 2 \ln ∣ x - 2 ∣ + 3 \ln ∣ x - 3 ∣ + \dots + 2022 \ln ∣ x - 2022 ∣= 0 .

Facebook Tweet Pin