If y = tan -1 x, find in terms of y alone.

Question

Philoid · Accepted Answer

Given: y = tan^-1x …(i)

⇒ tan y = x

On differentiating Eq. (i) with respect to x, we get

Now, again differentiating the above with respect to x, we get

If y = tan-1x, find in terms of y alone.