f(x)=x(1+cos x) ,f`(П)=?. Created by nikita4goda. algebra-ru

f(x)=x(1+cos x) ,f`(П)=?...

nikita4goda @nikita4goda

July 2022 1 12 Report

f(x)=x(1+cos x) ,f`(П)=?

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nafanya2014

Verified answer

По правилу производная произведения
(u·v)`=u·`v+u·v`
u=x
v=1+cosx
F`(x)=x`·(1+cos)+x·(1+cosx)`=1·(1+cosx)+x·(-sinx)=1+cosx-x·sinx
F`(π)=1+cosπ-π·sinπ=1-1-π·0=0
О т в е т. F`(π)=0

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nikita4goda November 2021 | 0 Ответы

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