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GrenKiller
@GrenKiller
July 2022
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Терміново потрібно до 8:00! Похідні!
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zo0my
1) f'(x)=2(x+2)*(x+2)'=2x+4
2) f'(x)=(1/pi)*cos(pi*x)*(pi*x)'= cos(pi*x)
3) f'(x)=(-sin(x+pi))*(x+pi)'=-sin(x+pi)
4) f'(x)=-10-(x+1)'/cos²(x+1)=-10-1/cos²(x+1)
5) f'(x)=-2* ((x+2)'/(x+2))=-2/(x+2)
6) f'(x)=6*(x-3)'/cos²(x-3)+10x=6/cos²(x-3)+10x
7) f'(x)=3(cos(3x))*(3x)'=9cos(3x)
8) f'(x)=3*(3x+1)'*e^(3x+1)=9*e^(3x+1)
9) f'(x)=(5*( (2x+1)^(-1) ))'=-5*(2x+1)' *(2x+1)^(-2)=-5/(2x+1)²
10) f'(x)=0,1*5*(2x+4)'*(2x+4)^4=0,5*(2x+4)^4
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Answers & Comments
2) f'(x)=(1/pi)*cos(pi*x)*(pi*x)'= cos(pi*x)
3) f'(x)=(-sin(x+pi))*(x+pi)'=-sin(x+pi)
4) f'(x)=-10-(x+1)'/cos²(x+1)=-10-1/cos²(x+1)
5) f'(x)=-2* ((x+2)'/(x+2))=-2/(x+2)
6) f'(x)=6*(x-3)'/cos²(x-3)+10x=6/cos²(x-3)+10x
7) f'(x)=3(cos(3x))*(3x)'=9cos(3x)
8) f'(x)=3*(3x+1)'*e^(3x+1)=9*e^(3x+1)
9) f'(x)=(5*( (2x+1)^(-1) ))'=-5*(2x+1)' *(2x+1)^(-2)=-5/(2x+1)²
10) f'(x)=0,1*5*(2x+4)'*(2x+4)^4=0,5*(2x+4)^4