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DomnikaMaksimova
@DomnikaMaksimova
August 2022
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sedinalana
Verified answer
2
f(x)=6x-3x²,x0=2
f(2)=12-12=0
f`(x)=6-6x
f`(2)=6-12=-6
y=0-6(x-2)=-6x+12
4
f(x)=1/x²,x0=-2
f(-2)=1/4
f`(x)=-2/x³
f`(-2)=1/4
y=1/4+1/4(x+2)=1/4+1/4*x+1/2=1/4*x+3/4
4
f(x)=e^x,x0=0
f(0)=1
f`(x)=e^x
f`(0)=1
y=1+1(x-0)=1+x
8
f(x)=√x,x0=1
f(1)=1
f`(x)=1/2√√x
f`(1)=1/2
y=1+1/2(x-1)=1+1/2*x-1/2=1/2*x+1/2
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Answers & Comments
Verified answer
2f(x)=6x-3x²,x0=2
f(2)=12-12=0
f`(x)=6-6x
f`(2)=6-12=-6
y=0-6(x-2)=-6x+12
4
f(x)=1/x²,x0=-2
f(-2)=1/4
f`(x)=-2/x³
f`(-2)=1/4
y=1/4+1/4(x+2)=1/4+1/4*x+1/2=1/4*x+3/4
4
f(x)=e^x,x0=0
f(0)=1
f`(x)=e^x
f`(0)=1
y=1+1(x-0)=1+x
8
f(x)=√x,x0=1
f(1)=1
f`(x)=1/2√√x
f`(1)=1/2
y=1+1/2(x-1)=1+1/2*x-1/2=1/2*x+1/2