Question

The derivative of Tan^-1 root 1+x^2-1/x w.r.t Tan^-1 x is ........ options (A) 0 (B) 1 (C) 2 (D) 1/2​

Answer 1

Answer:

We have,

y=tan−1(x1+x2−1)Let,x=tanθv=tan−1xy=tan−1(tanθsecθ−1)y=tan−1(sinθ1−cosθ)y=tan−1(tan2θ)=2θy=2tan−1xdxdy=2(1+x2)1.