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irinaslasten97
@irinaslasten97
July 2022
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Найдите производную функции: f(x)= x²In(x²-10)
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hlopushinairina
F(x)=x²·ln(x²-10);⇒
f¹(x)=(x²)¹·ln(x²-10)+x²·(ln(x²-10))¹=2x·ln(x²-10)+x²·2x/(x²-10)=
=2x·[ln(x²-10)+x²/(x²-10)];
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Answers & Comments
f¹(x)=(x²)¹·ln(x²-10)+x²·(ln(x²-10))¹=2x·ln(x²-10)+x²·2x/(x²-10)=
=2x·[ln(x²-10)+x²/(x²-10)];