Odpowiedzi

2010-01-22T16:10:17+01:00
Dziedzina: x(4x -1 ) > 0
x nal. od -niesk. do 0 w sumie z od 1/4 do niesk.

f'(x) = ln[x(4x-1)] + x * [lnx(4x - 1)]' * [x(4x - 1)]' =
= lnx(4x - 1) + x * 1/[x(4x - 1)] * [(4x - 1) + 4x] =
= lnx(4x - 1) + 1/(4x - 1) * (8x - 1) =
= lnx(4x - 1) + (8x - 1) / (4x - 1)