Question

Найти производную
y=6^x*sin(x)

Answer 1

Ответ:

$y = {6}^{x} \times \sin(x)$

$y' = ( {6}^{x} )' \times \sin(x) + ( \sin(x)) '\times {6}^{x} = \\ = ln(6) \times {6}^{x} \times \sin(x) + \cos(x) \times {6}^{x} = \\ = {6}^{x}( ln(6) \times \sin(x) + \cos(x))$