Question

Сделайте 2 красных,подробно,даю 60 баллов

Answer 1

f´(x)=(10x/(1-x²))´=(10(1-x²)-10x(-2x))/(1-x²)(1-x²)=
=(10-10x²+20x²)/(1-x²)(1-x²)=(10x²+10)/(1-x²)²=10(x²+1)/(1-x²)², x≠-1,x≠1


f(x)=(2x-5)(xˇ4 +1)
f´(x)=2(xˇ4+1)+(2x-5).4x³=2xˇ4 +2+ 8xˇ4-20x³=10xˇ4 -20x³+2


(u/v)´(u´v-uv´)/v²)
((uv)´=u´v+uv´)