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valeryvery
@valeryvery
July 2022
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армения20171
4)f('x)=(3lnx)'=3/x
f'(x)=(e^x(3x-2))'=e^x(3x-2)-3*e^x
5)f(x)=e^(5-2x);x0=5/2
f'(x)=-2*e^(5-2x)
f'(5/2)=-2*e^0=-2
f(5/2)=1
y=f'(x0)(x-x0)+f(x0)
y=-2(x-5/2)+1
y=-2x+6
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Answers & Comments
f'(x)=(e^x(3x-2))'=e^x(3x-2)-3*e^x
5)f(x)=e^(5-2x);x0=5/2
f'(x)=-2*e^(5-2x)
f'(5/2)=-2*e^0=-2
f(5/2)=1
y=f'(x0)(x-x0)+f(x0)
y=-2(x-5/2)+1
y=-2x+6