If sec θ-cos θ, y= secⁿ θ- cosⁿ θ then (dy/dx)²=

d/dx{Tan^-1 1/√x²-1}=

If x= a(θ+sin θ), y=a(1-cosθ) then d²y/dx² at θ=π/4 is

d/dx{Tan^-1x/√1-x²+Sec^-11/√1-x²}=

d/dx{Tan^-1√(x²/a²-x²)}=

If y=sin(sin x)then y₂+(tan x)y₁+y(cos²x)=

The derivative of Sin^-1(3x-4x³) w.r.to Tan^-1x/√ (1-x²) is

d/dx{sin²((1-x²)/(1+x²))}

If y=e^-kx/2(a cos nx+b sin nx) then y₂+ky₁+(n²+k²/4)y=

d/dx{(2x-3)/(3x+1)}=