Choose the correct alternative in the following: Differential coefficient of sec (tan –1 x) is

Question

Philoid · Accepted Answer

Let f(x) = sec (tan^–1 x)

Let θ = tan^-1x

--(1)

-- From (1)

Now θ = tan^-1x

= x = tan θ

∵ sec²θ – tan²θ = 1

Putting values, we get