If log (x+y) =log (xy ) +a, then (dy)/(...

If ` log (x+y) =log (xy ) +a, then (dy)/(dx) =`

A

` (y)/(x) `

B

` (-y)/(x)`

C

` (y^(2))/( x^(2))`

D

` (-y)/( x) `

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

Differential Equation
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
INTEGRATION
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

NIKITA PUBLICATION-DIFFERENTIATION -MCQ

If sin(x+y)=log(x+y) then (dy)/(dx)=
Text Solution
|
If x^(2) +sin y =y^(2) +log )(x+y) ,then (dy)/(dx) =
Text Solution
|
If log (x+y) =log (xy ) +a, then (dy)/(dx) =
Text Solution
|
If e^(x-y) =log ((x)/(y)),then (dy)/(dx) =
Text Solution
|
If x = e^(tan^(-1))((y-x^2)/x^2) then (dy)/(dx)=
Text Solution
|
If x^y=e^(x-y); then (dy)/(dx) is
Text Solution
|
If x^y=e^(x-y); then (dy)/(dx) is
Text Solution
|
If x^(y) =3^(x-y),then (dy)/(dx)=
Text Solution
|
If y^(y) =xsin y,then (dy)/(dx)=
Text Solution
|
If x^(y) = y^(x) " then " (dy)/(dx)= ?
Text Solution
|
If x^(y) y^(x)=(x+ y)^(x+y).then (dy)/(dx)=
Text Solution
|
If sec ((x+y)/( x-y))=a^(2) ,then (dy)/(dx) =
Text Solution
|
If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =
Text Solution
|
If cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=tan^(-1)a, prove than (dy)/(d...
Text Solution
|
If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =
Text Solution
|
If tan^(-1)((x^(2)-2y^(2))/(x^(2)+2y^(2)))=a,"show that "(dy)/(dx)=(x(...
Text Solution
|
If log (10) ((x^(2) - y^(2))/(x^(2) + y^(2))) = 2 , " then" (dy)/(dx)...
Text Solution
|
IF log (10)""((x^(3)-y^(3))/(x^(3)+y^(3)))=2 then (dy)/(dx)=
Text Solution
|
If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(d...
Text Solution
|
If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is
Text Solution
|