Differentiate tan^(-1){sqrt((1+cosx)/(1-...

Differentiate `tan^(-1){sqrt((1+cosx)/(1-cosx))},\ \ 0

Text Solution

Verified by Experts

The correct Answer is:

`1/2`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

Continuity and Differentiability
NAGEEN PRAKASHAN|Exercise Exercies 5g|12 Videos
Continuity and Differentiability
NAGEEN PRAKASHAN|Exercise Exercies 5h|26 Videos
Continuity and Differentiability
NAGEEN PRAKASHAN|Exercise Exercies 5e|19 Videos
APPLICATIONS OF INTEGRALS
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
DETERMINANTS
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1){sqrt((1-cosx)/(1+cosx))}, -pi

Differentiate 'tan^(^^)(-1){sqrt((1+cos x)/(1-cos x)},darr backslash0

Differentiate tan^(-1){sqrt((1+sinx)/(1-sinx))}, -pi/2

Find the differentiation of y=tan^(-1)sqrt((1+cosx/2)/(1-cosx/2))

Differentiate w.r.t. x: (i)tan^(-1){sqrt((1+cosx)/(1-cosx))}" "(ii)tan^(-1){sqrt((1+sinx)/(1-sinx))}

Differentiate tan^-1((4sqrt(x))/(1-4x))

Differentiate 'tan ^(^^)(-1){(cos x)/(1+sin x)},10

Differentiate cos^(-1){sqrt((1+cosx)/(2))} w.r.t. x.

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))}

Differentiate tan^(-1)((sinx)/(1+cosx)), -pi

NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5f

Differentiate tan^(-1){sqrt((1+cosx)/(1-cosx))},\ \ 0<x<pi with respec...
02:08
|
tan ^(-1)((cos x)/(1+sin x ))
Text Solution
|
cos^(-1)(sqrt(1+cos x)/2)
01:55
|
tan^(-1)((sin x)/(1+cos x))
03:50
|
tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))
03:21
|
sec^-1((1+tan ^2x)/(1-tan ^2 x))
04:31
|
cosec^(-1)((1+tan ^2x)/(2tanx))
03:11
|
sin^-1(cos x)+tan ^-1(cot x)
03:10
|
sin^-1(1-2x^2)
03:13
|
The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1) is
02:44
|
tan ^-1((2x)/(1-x^2))
01:25
|
Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (1/2,\ 1)
02:16
|
Differentiate sin^(-1)(3x-4x^3) with respect to x , if 1/2<x<1
02:49
|
tan^-1((1+x)/(1-x))
01:36
|
cos^(-1)((1-x^(2n))/(1+x^(2n)))
01:52
|
cos^-1((x)/sqrt(1+x^2))
01:53
|
Differentiate tan^(-1)((a+x)/(1-a x)) with respect to x
01:29
|
cos^(-1)((x-x^1)/(x+x^(-1)))
02:40
|
cot^(-1)(sqrt(1+x^2)-x)
02:20
|
Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)),\ -1/(sqrt(3))<x/a<1/...
03:09
|