If here we have to find the double derivative, so to find double derivative we will just differentiate the first derivative once again with a similar method. Theorem: y and x are given in a different variable that is θ . We can find = a(1-cosθ ) ……….(2) Dividing (1) and (2), we get = = -cot (θ/2) ⇒ To find f’’ we will differentiate f’ with θ and then divide with equation (2). = = by finding
and
and then dividing them to get the required thing.
=
………..(1)
=
=