The derivative of cot^-1(cosec x-cot x) w.r.to x is

If (y=1/1+x+x²+x³) then y₂(0)=

The derivative of √(tan x+√tan x) w.r.t x is

d/dx{sin x/ 1+ cos x}=

d/dx{Tan^-1(x/1+√1-x²)}=

If x<1 then (1-2x/1-x+x²)+(2x-4x³/1-x²+x⁴)+(4x³-8x⁷/1-x⁴+x⁸)+...∞=

If y= ax²+b/x then x²y₂=

If x= a cos θ (1+cos θ), y=sin θ(1+cos θ) then (dy/dx)_θ=π/2

The derivative of √(Tan^-1 x) w.r.to x is

If x²+xy+y²=a², then y₂=