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happychild19
@happychild19
July 2022
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найти производную функций:
1: (x+3)*x^3
2: (x-4)*3x^2
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Answers & Comments
smileos
1. f′(x)=((x+3)⋅x3)′=(x+3)′⋅x3+(x+3)⋅(x3)′=
=1⋅x3+(x+3)⋅3⋅x2=x3+(x+3)⋅3⋅x2
Ответ:
f′(x)=x3+(x+3)⋅3⋅x2
2. f′(x)=((x−4)⋅3⋅x2)′ =((x−4)⋅3)′⋅x2+(x−4)⋅3⋅(x2)′= =3⋅(x−4)′⋅x2+(x−4)⋅6⋅x=
=3⋅1⋅x2+(x−4)⋅6⋅x= 3⋅x2+(x−4)⋅6⋅x
Ответ:
f′(x)=3⋅x2+(x−4)⋅6⋅x
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Answers & Comments
=1⋅x3+(x+3)⋅3⋅x2=x3+(x+3)⋅3⋅x2
Ответ:
f′(x)=x3+(x+3)⋅3⋅x2
2. f′(x)=((x−4)⋅3⋅x2)′ =((x−4)⋅3)′⋅x2+(x−4)⋅3⋅(x2)′= =3⋅(x−4)′⋅x2+(x−4)⋅6⋅x=
=3⋅1⋅x2+(x−4)⋅6⋅x= 3⋅x2+(x−4)⋅6⋅x
Ответ:
f′(x)=3⋅x2+(x−4)⋅6⋅x