Производная функции f (x )= 4cosx×5ctgx. Created by lululilovo. algebra-ru

Производная функции f (x )= 4cosx×5ctgx...

lululilovo @lululilovo

July 2022 1 13 Report

Производная функции f (x )= 4cosx×5ctgx

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Производная функции f (x )= 4cosx×5ctgx.
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f (x )= 4cosx*5ctgx = 20cosx*ctqx
f `(x )= (20cosx*ctgx) ` = 20*(cosx*ctgx)`=20*( (cosx) ` *ctqx +cosx*(ctqx) `) =
20*(-sinx *ctqx - cosx/sin²x ) = - 20cosx(1 +1/sin²x) .

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