Предмет: Математика, автор: андрейан

y=lntg^2x, тангенс в степени 2 ( но не 2x) как найти производную

Ответы

Автор ответа: DedushkaBake

это производная сложной функции сначала берем производную от ln умножаем на производную tg² потом берем производную tg
y'=(1/tg²x)*(tg²)'=(1/tg²x)2tgx*(tgx)'=(2/tgx)*(1/cos²x)*=2/((tgx)*cos²x))

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