1
2
ОДЗ 9-x²>0⇒x∈(-3;3)
x+4y=1⇒4y=1-x⇒y=1/4-x/4
k=f`(x0)=-1/4
f`(x)=-2x/(9-x²)=-1/4
8x=9-x²
x²+8x-9=0
x1+x2=-8 U x1*x2=-9
x1=-9∉ОДЗ
x2=1
f(1)=ln8
Y=ln8-1/4(x-1)=ln8-1/4x+1/4=-1/4x+(1/4+ln8)
2
ОДЗ 9-x²>0⇒x∈(-3;3)
x+4y=1⇒4y=1-x⇒y=1/4-x/4
k=f`(x0)=-1/4
f`(x)=-2x/(9-x²)=-1/4
8x=9-x²
x²+8x-9=0
x1+x2=-8 U x1*x2=-9
x1=-9∉ОДЗ
x2=1
f(1)=ln8
Y=ln8-1/4(x-1)=ln8-1/4x+1/4=-1/4x+(1/4+ln8)