Derivative of tan^(-1)2xsqrt(1-x^(2))/(1...

Derivative of `tan^(-1)2xsqrt(1-x^(2))/(1-2x^(2))w.r.t.sec^(-1)" "(1)/(2x^(2)-1)" at "x=(1)/(2)`

A

`(1)/(2)`

B

`-(1)/(2)`

C

`-1`

D

1

Text Solution

Verified by Experts

The correct Answer is:

C

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

DIFFERENTIATION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
DIFFERENTIATION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
DIFFERENTIAL EQUATIONS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

tan^(-1)((x)/(sqrt(1-x^(2))))"w.r.t."sec^(-1)((1)/(2x^(2)-1))

Derivative of tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. sin^(-1)((2x)/(1+x^(2))) is

Knowledge Check

The value of derivative of tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2)))w.r.tsec^(-1)((1)/(2x^(2)-1)) at x = 1/2 equals-

A

1

B

-1

C

0

D

None

Derivative of tan^(-1)((sqrt(1+x^(2))-1)/(x))w.r.t.tan^(-1)x is

A

`1`

B

`2`

C

`(1)/(2)`

D

`-2`

Derivative of tan^(-1){(x)/(1+sqrt(1-x^(2)))}w.r.t.sin^(-1) is

A

`(1)/(2)`

B

1

C

2

D

`(3)/(2)`

Similar Questions

Explore conceptually related problems

cos^(-1)((1-x^(2))/(1+x^(2)))w.r.t. tan^(-1)x

Differentiate tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)x.

Find the derivative of tan^(-1)(2x)/(1-x^(2))quad w.r.t sin^(-1)(2x)/(1+x^(2))

Find the derivative of y=sin^(-1)(2xsqrt(1-x^2))

The derivative of tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)((2x sqrt(1-x^(2)))/(1-2x^(2))) at x = 0 is

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)

Derivative of tan^(-1)2xsqrt(1-x^(2))/(1-2x^(2))w.r.t.sec^(-1)" "(1)/(...
Text Solution
|
If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=
05:14
|
If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=
04:01
|
If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=
02:50
|
If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=
05:38
|
If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=
04:38
|
If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =
01:38
|
If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...
03:33
|
If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is
02:10
|
If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=
03:33
|
If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=
04:11
|
d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx
02:33
|
(d)/(dx)(sec^(2)x*csc^(2)x)=
02:58
|
If y=log((1)/(1-x))," then: "(dy)/(dx)-1=
01:55
|
If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=
03:08
|
If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=
02:07
|
If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot
01:40
|
If x^(2)=1+cosy," then: "(dy)/(dx)=
04:18
|
Defferential coefficient of x^(x)w.r.t.x*logx is
04:41
|
If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=
02:31
|
If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=
02:56
|