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steparomashkin
@steparomashkin
July 2022
1
6
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Помогите, пожалуйста. Найти производную. f(x)=(10x^2+4x^3)^3
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Solнышко
f′
(x)=
(
(10⋅
x
²
+4⋅x
³
)
³
)′
=
=3⋅
(10⋅
x
²
+4⋅x
³
)
²
⋅
(10⋅x
²
+4⋅x
³
)′
=
=3⋅
(10⋅
x
²
+4⋅x
³
)
²
⋅
((10⋅x
²
)′+(4⋅x
³
)′)
=
=3⋅
(10⋅
x
²
+4⋅x
³
)
²
⋅
(10⋅(x
²
)′+4⋅(x
³
)′)
=
=3⋅
(10⋅
x
²
+4⋅x
³
)
²
⋅
(20⋅x+12⋅x
²
)
1 votes
Thanks 1
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