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If y= sqrt ((1-tan 2x ) /( 1+tan 2x )) ...

If ` y= sqrt ((1-tan 2x ) /( 1+tan 2x )) ,then (dy)/(dx) =`

A

` -sec ^(2)((pi)/( 4)- 2x ) sqrt ((1-tan2x)/( 1+ tan 2x) ) `

B

` sec ^(2)((pi)/( 4)- 2x ) sqrt ((1-tan2x)/( 1+ tan 2x) ) `

C

`- sec ^(2)((pi)/( 4)- 2x ) sqrt ((1+tan2x)/( 1- tan 2x) ) `

D

` sec ^(2)((pi)/( 4)- 2x ) sqrt ((1+tan2x)/( 1- tan 2x) ) `

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If y=sqrt((1- tanx )/(1- tan x)) , then (dy)/(dx)=

    A
    `1/2 sqrt((1-tanx )/(1 + tan x)) sec^2 ((pi)/(4) +x)`
    B
    `sqrt((1- tan x)/( 1+ tan x )) sec^2 ((pi)/(4) +x)`
    C
    `1/2 sqrt((1- tan x)/(1+ tan x)) sec ""((pi)/(4) +x)`
    D
    None of these

  • If y = sqrt((1 + tan x)/(1 - tan x)) " then " (dy)/(dx)= ?

    A
    `(1)/(2) sec^(2)x.tan (x + (pi)/(4))`
    B
    `(sec^(2) (x + (pi)/(4)))/(2 sqrt(tan (x + (pi)/(4))))`
    C
    `(sec^(2) ((x)/(4)))/(sqrt(tan (x + (pi)/(4))))`
    D
    none of these

  • If Y = (1 + tan x)/(1 - tan x) , then (dy)/(dx) is

    A
    `(2 sec^(2)x)/((1- tan x)^(2))`
    B
    `(2 sec^(2) x)/(1 + tan x)`
    C
    `("sin"^(2) x)/(1 + tan x)`
    D
    `(sec^(2) x)/(1 + tan x)`

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