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qwe213
@qwe213
July 2022
2
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найти производную функции, y=x^3 lnx
Очень нужно
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sedinalana
Verified answer
Y`=(x³)`*lnx+x³*(lnx)`=3x²*lnx+x³*1/x=3x²*lnx+x²
-----------------------------------------------------------------
(x^n)`=nx^(n-1)
(lnx)`=1/x
14 votes
Thanks 18
polinasmart
Y = x^3 lnx
y' = 3x^2 lnx + x^3 * 1/x = 3x^2 lnx + x^2 = x^2 (3lnx + 1)
9 votes
Thanks 21
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Answers & Comments
Verified answer
Y`=(x³)`*lnx+x³*(lnx)`=3x²*lnx+x³*1/x=3x²*lnx+x²-----------------------------------------------------------------
(x^n)`=nx^(n-1)
(lnx)`=1/x
y' = 3x^2 lnx + x^3 * 1/x = 3x^2 lnx + x^2 = x^2 (3lnx + 1)