The derivative of Sin^-1 cos x w.r.to x is

If y= acos (log x)+b sin (log x) then x²y₂+xy₁+y=

If f(x)=x²sin(1/x) for x≠0, f(0)=0 then

The derivative of Sin^-12x/1+x² w.r.to Tan^-12x/1-x²is

If y= x²+1/(x²+1/x²+....∞), then dy/dx=

If x= e^t(cos t +sin t), y= e^t(cos t-sin t) then dy/dx=

If x-y=Sin^-1 x-Sin^-1 y then dy/dx=

If |x|<1then dy/dx(1-2x+3x²+...)=

d/dx{(√(a²+x²)+ √(a²-x²))/ (√(a²+x²)- √(a²-x²))}

d/dx{Tan^-1√(1-x/1+x)}=