Home
Class 12
MATHS
If (cosx)^y=(siny)^x , find (dy)/(dx) ....

If `(cosx)^y=(siny)^x` , find `(dy)/(dx)` .

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) given the equation \((\cos x)^y = (\sin y)^x\), we can follow these steps: ### Step 1: Take the logarithm of both sides We start by taking the natural logarithm of both sides of the equation: \[ \log((\cos x)^y) = \log((\sin y)^x) \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

If (cosx)^(y)=(siny)^(x), then find (dy)/(dx) .

If (sinx)^(y)=(siny)^(x),"find "dy/dx .

If x^(y)=y^(x), find (dy)/(dx)

If y=(x)^(cosx)+(cosx)^(sinx) , find (dy)/(dx).

If x^(y)=y^(x), then find (dy)/(dx)

"If "y^(x)=x^(y)," then find "(dy)/(dx).

If y=sin(cosx^(2)), find (dy)/(dx) .

If y=(sinx)/(x+cosx) , then find (dy)/(dx) .

If y=sin(sqrt(sinx+cosx)), find (dy)/(dx) .

If y^(x)=x^(y), then find (dy)/(dx)