Question

Найти производную
у=4^х/е^х

Answer 1

$y=frac{4^{x}}{e^{x}}\\y'=frac{4^{x}cdot ln4cdot e^{x}-4^{x}cdot e^{x}}{(e^{x})^2}=frac{e^{x}cdot 4^{x}cdot (ln4-1)}{e^{2x}}=frac{4^{x}cdot (ln4-1)}{e^{x}}=(frac{4}{e})^{x}cdot (ln4-1)$