Предмет: Алгебра, автор: Umforfozis

Найти производную y' от заданных функций, пользуясь основными правилами и формулами дифференцирования 1) y=6^x ctgx 2) y=√(5x+1)

Ответы

Автор ответа: wejde

0

1.
y'=(6^x)'*ctgx+6^x*(ctgx)'
y1=6^x
y1'=6^x*ln6
y2=ctgx
y2'=-1/sin^2x
y'=6^x*ln6*ctgx-(6^x)/sin^2x

2.
y=√(5x+1)
y'=(5x+1)'*1/2√(5x+1)=5/2√(5x+1)

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