Differentiate the following functions with respect to x:

Question

Philoid · Accepted Answer

Let 2x = tanθ

Considering the limits,

–1 < 2x < 1

–1 < tanθ < 1

Now,

y = tan^–1(tan2θ)

y = 2θ

y = 2tan^–1(2x)

Differentiating w.r.t x, we get