Derivative of √ tan x is,

Question

Answer: A. sin 2 x/ √ tan x B. cos 2 x/ 2 √ tan x C. sec 2 x D. None of these

Answer 1

if y = √tanx = (tanx)^(1/2)
then
dy/dx = (1/2)(tanx)^(-1/2)(sec^2 x)
or
sec^2x/(2√tanx)

I don't see that answer in your choices

Answer 2

You need to be more careful showing a ^ before exponents.

Hint: use the chain rule.

The correct answer is
(cosx)^-2/[2 sqrt(tanx)]

But that is none of the choices you have written down.