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BlackW00lf
@BlackW00lf
August 2022
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найти производную y',если заданы следующие функции y=2x^3-3tgx+5^x-cosx+10; y=e^x*x^2; (y=3x+1)/sinx (дробь)
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sedinalana
y=2x^3-3tgx+5^x-cosx+10
y`=6x²-3/cos²x+5^x*ln5-sinx
y=e^x*x^2
y`=e^x*x
²+2x^e^x=(x²+2x)*e^x
y=(3x+1)/sinx
y`=(3*sinx-(3x+1)*cosx)/sin²x
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Answers & Comments
y`=6x²-3/cos²x+5^x*ln5-sinx
y=e^x*x^2
y`=e^x*x²+2x^e^x=(x²+2x)*e^x
y=(3x+1)/sinx
y`=(3*sinx-(3x+1)*cosx)/sin²x