Question

найдите производную
y=lnx+1/lnx

Answer 1

$LARGE \ y=ln{x}+{1over ln{x}}\ y'={1over x}+(ln^{-1}{x})'={1over x}-ln^{-2}{x}cdot{1over x}={1over x}cdotbegin{pmatrix} 1-{1overln^2{x}} end{pmatrix}={ln^2{x}-1over xcdot ln^2{x}}$