1)y=x²+sinx , y´=2x+cosx, y´(π)=2π+cosπ=2π-1
2)y=x.lnx , y´=1.lnx + x.(1/x)=lnx+1, y´(e)=lne+1=1+1=2
(u+v)´= u´+v´ , (uv)´=u´v + uv´)
(sinx)´= cosx, (lnx)´=1/x , x∈(0,∞)
4а+bу+ay+4b=4(а+b)+у((а+b)=(а+b)(4+у)
(х+2у)²=х²+4ху+4у²
Sinx-√3cosx=2
2sin(x-π/3)=2
<span>sin(x-π/3)=1
</span>x-π/3=π/2+2πn, n∈z
x=π/2+π/3+2πn, n∈z
x=5π/6+2πn, n∈z
Ответ. x=5π/6<span>+2πn, n∈z</span>