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Lianass
@Lianass
July 2022
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20 баллов, помогите найти производную пож-та: (256/9)*x*(x-1)^3
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volk077
(256/9)*x*(x-1)^3
Производная произведения:
((256/9)*x)' *(x-1)^3+(256/9)*x*((x-1)^3)' = (256/9)*(x-1)^3+(256/9)*x*3(x-1)^2= ((256/9)*(x-1)^2)*((x-1)-x*3)=((256/9)*(x-1)^2)*(-2x-1)= -(256/9)*((x-1)^2)*(2x+1)
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Answers & Comments
Производная произведения:
((256/9)*x)' *(x-1)^3+(256/9)*x*((x-1)^3)' = (256/9)*(x-1)^3+(256/9)*x*3(x-1)^2= ((256/9)*(x-1)^2)*((x-1)-x*3)=((256/9)*(x-1)^2)*(-2x-1)= -(256/9)*((x-1)^2)*(2x+1)