1. y=log₂(2x+3)
![y'= \frac{1}{(2x+3)ln2} *2= \frac{2}{(2x+3)ln2}](https://tex.z-dn.net/?f=y%27%3D%20%5Cfrac%7B1%7D%7B%282x%2B3%29ln2%7D%20%2A2%3D%20%5Cfrac%7B2%7D%7B%282x%2B3%29ln2%7D)
2.y=1/3cos(3x-π/2)-π³-e², x₀=π/3
y'=1/3 (-sin(3x-π/2))*3=-sin(3x-π/2)
y'(x₀)=-sin(3*π/3-π/2)=-sin(π-π/2)=-sin(π/2)=-1
3. y=x², x₀=0,25
y'=2x
k=y'(x₀)=2*0,25=0,5
4. sin(π/6-3x)-1/2=0
sin(π/6-3x)=1/2
π/6-3x=π/2+2πn
3x=π/6-π/2+2πn=π/6-3π/6+2πn=-2π/6+2πn=-π/3+2πn
x=-π/9+2πn/3 , n∈Z
-5х=2*10
-5х=20
Х=20/(-5)
Х=-4
11-а 13 в,в учебник есть определения вначале каждого параграфа