Question

найдите производную функции у = х ^ 2 / lg5x

Answer 1

$y= frac{x^2}{lg5x}\\y'= frac{2xcdot lg5x-x^2cdot frac{5}{5xcdot ln10}}{lg^25x} = frac{2xcdot ln10cdot lg5x-x}{lg^25xcdot ln10}$