If siny = x sin (a+y), then dy/dx is equ...

If `siny = x sin (a+y)`, then dy/dx is equal to

A

`{sin(a+y)}/(sin a)`

B

`{sin^2(a+y)}/(sin a)`

C

`{2sin(a+y)}/(sin a)`

D

`{sin^2(a+y)}/(sin y)`

Text Solution

Verified by Experts

The correct Answer is:

B

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Similar Questions

Explore conceptually related problems

If y = x tan y , then (dy)/(dx) is equal to

Let sin y=sin(a+y) then (dy)/(dx) equals

Knowledge Check

If sin y=x sin (a +y) , then (dy)/(dx)=

A

`( sin^2 ( a +y))/(sin a)`

B

` sin (a +y)`

C

`sin^2 (a+y)`

D

` (sin (a+ y))/( sin a)`

If y + sin y = cos x, then (dy)/(dx) is equal to

A

`- (sin x)/(1 + cos y),y = (2n + 1) pi`

B

`(sin x)/(1 + cos y), y ne (2n + 1) pi`

C

`-(sin x)/(1 + cos y), y ne (2n +1) pi`

D

None of the above

If y^x=x^y , then dy/dx is equal to

A

`(y-xlogy)/(x-ylogx)`

B

`-((y-xlogy)/(x-ylogx))`

C

`-y/x((y-xlogy)/(x-ylogx))`

D

`y/x((y-xlogy)/(x-ylogx))`

Similar Questions

Explore conceptually related problems

If y=x sin x, then dy/dx=

If y^(x) = x^(y) , "then" (dy)/(dx) is equal to

If y = sqrt(sin + y ) "then" (dy)/(dx) is equal to

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If sin y=x cos ( a + y) , then (dy)/(dx) =

Recommended Questions

If siny = x sin (a+y), then dy/dx is equal to
Text Solution
|
(dy)/(dx)=sin x. siny
01:44
|
If (cosx)^(y)=(siny)^(x), then find (dy)/(dx).
04:31
|
यदि siny=x sin(a+y) हो, तो (dy)/(dx) का मान होगा-
04:11
|
If siny=x sin(a+y), then the value of (dy)/(dx) is -
04:07
|
if siny=xsin(a+y) then show that dy/dx=sin^(2)(a+y)/(sina).
04:27
|
If y^(x)=x^(siny) then find dy/dx.
03:40
|
If sin((x+y)/(2))=sinx+siny," then "(dy)/(dx)=
03:30
|
If e^(x)siny-e^(y)cosx=1,"then"(dy)/(dx) equals -
04:56
|