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)}=

If x²-xy+y²=1 and y’’(1)=

d/dx{Tan^-1(x-√x/1+x^3/2}=

If 3x²+4xy+2y²+x-8=0 and dy/dx at (1,1),(1,2),(2,-1),(-1,3) are respectively A,B,C,D then the descending order of A,B,C,D is

d/dx { log√(cosec x+1)-√(cosec x-1)}=

The derivative of (sin x)^x _w.r.to x is

If |x|<1 then d/dx[1+px/q+p(p+q)/2!(x/q)²+p(p+q)(p+2q)/3! (x/q)³+...]

Let f(x)=1/|x| for |x| ≤1, f(x)=ax²+b for |x|>1. If f is differentiable at any point, then