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aleksandpopov
@aleksandpopov
July 2022
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ПОЖАЛУЙСТА, РЕШИТЕ 3 НОМЕР!!!
СПАСИБОО!!!
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lara164
Verified answer
А) у=х²-5х + 1/х
y' = (x²)' -(5x)' +(1/x)' = 2x-5-1/x²
б)у=х(х²-5х+1) = х³-5х²+х
y' = (х³-5х²+х)' = (х³)'-(5х²)'+(х)'=3x²-10x+1
в) у=(х³-5х²+1)/х = х³/х -5х²/х +1/х = х²-5х + 1/х
у' = (х²-5х + 1/х)' = (x²)' -(5x)' +(1/x)' = 2x-5-1/x²
2 votes
Thanks 1
lara164
во втором раскрываем скобку, умножая все на Х, в последнем каждое слагаемое числителя делим на Х и потом сокращаем
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Answers & Comments
Verified answer
А) у=х²-5х + 1/хy' = (x²)' -(5x)' +(1/x)' = 2x-5-1/x²
б)у=х(х²-5х+1) = х³-5х²+х
y' = (х³-5х²+х)' = (х³)'-(5х²)'+(х)'=3x²-10x+1
в) у=(х³-5х²+1)/х = х³/х -5х²/х +1/х = х²-5х + 1/х
у' = (х²-5х + 1/х)' = (x²)' -(5x)' +(1/x)' = 2x-5-1/x²