Home
Class 12
MATHS
Find (dy)/(dx)of the functions given by...

Find `(dy)/(dx)`of the functions given by `y^x=x^y`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the function given by \(y^x = x^y\), 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: \[ \log(y^x) = \log(x^y) \] ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|47 Videos

  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) of the functions given by x^y+y^x=1

Find (dy)/(dx) of the functions given by x y=e^((x-y))

Find (dy)/(dx) of the functions given by (cosx)^y=(cosy)^x

Find (dy)/(dx) for the function: y= Sin 5x

Find (dy)/(dx) for the function: y= sin x + ln x

Find (dy)/(dx) for the function: y=x^3 + e^(2x)

Find (dy)/(dx) for the function: y=e^x + cos x

Find (dy)/(dx) for the functions: y=x^3e^xsinx

Find (dy)/(dx) for the functions: y=x^3e^xsinx

Find (dy)/(dx) for the functions: y=x^3e^xsinx