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karinaxoozzz
@karinaxoozzz
July 2022
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Логарифмы 11 класс. Решите пожалуйста. Срочно! Даю много баллов)
№1.(Найти производную). а)y=5e^(4x-3) ; б)y=x^7 * e^x ; в)y= (e^3x)/(2x+1)
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sedinalana
Verified answer
1
y`=5*4*e^(4x-3)=20*e^(4x-3)
2
y`=7x^6*e^x+x^7*e^x=x^6*(7e^x+x)
3
y`=(3e^3x *(2x+1)-2*e^3x)/(2x+1)²=(6x*e^3x+3e^3x-2e^3x)/(2x-1)²=
=(6x*e^3x+e^3x)/(2x-1)²
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Answers & Comments
Verified answer
1y`=5*4*e^(4x-3)=20*e^(4x-3)
2
y`=7x^6*e^x+x^7*e^x=x^6*(7e^x+x)
3
y`=(3e^3x *(2x+1)-2*e^3x)/(2x+1)²=(6x*e^3x+3e^3x-2e^3x)/(2x-1)²=
=(6x*e^3x+e^3x)/(2x-1)²