1)y=-sinx+7cosx-e^x
y`=-cosx-7sinx-e^x
2)f(x)=1/2x+sin(x-π/3) x0=0
f`(x)=1/2+cos(x-π/3)
f`(0)=1/2cos(-π/3)=1/2+1/2=1
3)f(x)=2x²-x+2 x0=1
f(1)=2-1+2=3
f`(x)=4x-1
f`(1)=4-1=3
Y=3+3(x-1)=3+3x-3=3x
4)f(x)=(1-x)/(x²+8)
f`(x)=(-x²-8-2x+2x²)/(x²+8)²=(x²-2x-8)/(x²+8)²
6)f(x)=cos[log(2)x]
f`(x)=-sin[log(2)x]*1/xln2=-sin[log(2)x]/xln2