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

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

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$f(x)=4cosx*5ctgx \\ \\ f'(x)=(4cosx)'*5ctgx+4cosx*(5ctgx)'=-4sinx*5ctgx+4cosx* \\ \\ *(- \frac{5}{sin^2x} )=-20sinx*ctgx- \frac{20cosx}{sin^2x}$

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oganesbagoyan описка -20sinx*cosx - 20cosx / sin²x

oganesbagoyan

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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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