Question

у=1/6 * x^{2} (e^6x - e^-6x) найти производную

Answer 1

$y= frac{1}{6}, x^2, (e^{6x}-e^{-6x})\\y'=frac{1}{3}, xcdot (e^{6x}-e^{-6x})+frac{x^2}{6}cdot (6e^{6x}+6e^{-6x})=\\=frac{x}{3}(e^{6x}-e^{-6x})+x^2(e^{6x}+e^{-6x})$