Найти производную y=6^x*sin(x). Created by ewrika606. algebra-ru

Найти производную y=6^x*sin(x)...

ewrika606 @ewrika606

July 2022 1 5 Report

Найти производную
y=6^x*sin(x)

Answers & Comments

Miroslava227

Ответ:

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

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

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