tan^(-1)(sqrt((1-x)/(1+x)))...

`tan^(-1)(sqrt((1-x)/(1+x)))`

Text Solution

Verified by Experts

`(-1)/(2sqrt(1-x^(2)))`. Put `x = cos theta`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

DIFFERENTIATION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice (Differentiate)|4 Videos
DIFFERENTIATION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos
DIFFERENTIATION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice|12 Videos
DIFFERENTIAL EQUATIONS
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos
INTEGRATION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

Similar Questions

Explore conceptually related problems

sin[2 tan^-1sqrt((1-x)/(1+x))]

Is tan^(-1) (sqrt((1-x^(2))/(1+x^(2))) ) = 1/2 cos^(-1) x true ?

Knowledge Check

The differential coefficient of tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))) , is

A

`sqrt(1-x^2)`

B

`1/(sqrt(1-x^2))`

C

`1/(2sqrt(1-x^2))`

D

x

Similar Questions

Explore conceptually related problems

Differentiate tan^-1sqrt((1-x^2)/(1+x^2)) with respect to cos^-1""x^2

Differentiate tan^(-1)sqrt((1-x^(2))/(1+x^(2))) with respect to cos^(-1)x^(2).

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

tan^-1((sqrt(1+x^2)-1)/x)

The differential coefficient of tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))

Differentiate the following with respect of x:tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

NAVNEET PUBLICATION - MAHARASHTRA BOARD-DIFFERENTIATION-Examples for Practice (Differentiate the following w.r.t. x)

If y="tan"^(-1)((sqrt(1+sinx)+sqrt(1-sinx)))/((sqrt(1+sinx)-sqrt(1-sin...
04:01
|
sin^-1((1-25x^2)/(1+25x^2)) differentiate
03:01
|
11I fy=tan^(- 1)[(sqrt(1+a^2x^2)-1)/(a x)],t h e n f i n d(dy)/(dx)
02:56
|
Differentiate sin^(-1){x/(sqrt(x^2+a^2))} with respect to x
02:24
|
tan^(-1)(sqrt((1-x)/(1+x)))
02:31
|
tan^(-1)((sqrt(x)(3-x))/(1-3x))
02:08
|
cos^(-1)((sqrt(1+x)-sqrt(1-x))/(2))
03:07
|
tan^(-1)((6x)/(1+16x^(2)))
02:31
|
tan^(-1)((6x)/(1+16x^(2)))
02:31
|
tan^(-1)((sqrt(x))/(1+20x))
04:07
|
tan^(-1)((a+bcosx)/(b-acosx))
02:04
|
y=tan^(-1)((5-x)/(6x^(2)-5x-3)) find dy/dx
02:51
|
xsqrt(x)+ysqrt(y)=asqrt(a)
01:30
|
If sqrt(y/x)+sqrt(x/y)=6 , then (dy)/(dx) is
03:19
|
x^(2) + xy + Y^(2) =100
01:01
|
cos(xy)=x+y
02:19
|
Find (dy)/(dx)in the following:sin^2x+cos^2y=1
01:58
|
y=sin(x+y)
01:17
|
siny=log(x+y)
01:47
|
xy+ysec^(-1)x=1
02:27
|