What is the derivative of $sqrt(tan x)$ ?

Question

43530 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-19T16:17:17

$sec^2x/(2sqrttanx)$

The expression can be written as

$(tanx)^(1/2)$

According to the chain rule,

$d/dx[(tanx)^(1/2)]=1/2(tanx)^(-1/2)*d/dx[tanx]$

Since $d/dx[tanx]=sec^2x$ ,

$d/dx[(tanx)^(1/2)]=sec^2x/(2sqrttanx)$

What is the derivative of sqrt(tan x)sqrt(tan x)?