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ksuyshok99
@ksuyshok99
August 2022
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Найти производную функции
у=7х^5/7+6x^5/6+5x^3/5+3x^1/3+x
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yarovoe
У=7х^5/7+6x^5/6+5x^3/5+3x^1/3+x
y'=7·5/7·x^(5/7-1)+6·(5/6)x^(5/6-1)+3·1/3x^(1/3-1)+1=
=5x^(-2/7)+5x^(-1/6)+x^(-2/3)+1=5/ ⁷√x²+5/⁶√x+1/∛x²+1
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Answers & Comments
y'=7·5/7·x^(5/7-1)+6·(5/6)x^(5/6-1)+3·1/3x^(1/3-1)+1=
=5x^(-2/7)+5x^(-1/6)+x^(-2/3)+1=5/ ⁷√x²+5/⁶√x+1/∛x²+1