Question

Differentiate tan^-1 (cot 2x) w.r.t.x.

Answer 1

Let y = tan^-1 (cot 2x)
y = tan^-1 `[tan(π/2 - 2x)]`

y = `π/2 - 2x`

Differentiating both sides w.r.tx we get 

`(dy)/(dx) = -2`