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The derivative of sqrt(tan x + sqrt(tan ...

The derivative of `sqrt(tan x + sqrt(tan x ))` w.r.t x is

A

`(sec ^(2) x [1+2sqrt(tan x )])/(4 sqrt(tan ^(2) x + tan x sqrt(tan x ))) `

B

`(sec ^(2) x [1-2sqrt(tan x )])/(4 sqrt(tan ^(2) x + tan x sqrt(tan x ))) `

C

`(sec x [1+2sqrt(tan x )])/(4 sqrt(tan ^(2) x + tan x sqrt(tan x ))) `

D

`(sec x [1-2sqrt(tan x )])/(4 sqrt(tan ^(2) x + tan x sqrt(tan x ))) `

Text Solution

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The correct Answer is:
A
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