Home
Class 12
MATHS
If y^3-3x y^2=x^3+3x^2\ y , find (dy)/(d...

If `y^3-3x y^2=x^3+3x^2\ y` , find `(dy)/(dx)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the equation \(y^3 - 3xy^2 = x^3 + 3x^2y\), we will differentiate both sides with respect to \(x\) and then solve for \(\frac{dy}{dx}\). ### Step-by-Step Solution: 1. **Differentiate both sides:** \[ \frac{d}{dx}(y^3 - 3xy^2) = \frac{d}{dx}(x^3 + 3x^2y) \] ...
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

x^(2)y=(x+y)^(3) , find (dy)/(dx)

If 2x+3y=cos x , find (dy)/(dx)

1:Ify=x^(3)+3xy^(2)+3x^(2)y, find (dy)/(dx)

If 2^x = 3^y then find (dy)/(dx)

If 2^x = 3^y then find (dy)/(dx)

If 2^x = 3^y then find (dy)/(dx)

If y^(3) - 3y^(2) x=x^(3) +3x^(2) y,then (dy)/(dx)=

if y=e^(2x)sin3x then find (dy)/(dx)

If x^(3) + y^(2) = sin (x + y) , find (dy)/(dx)

If 2^(x)=3^(y) ,then find (dy)/(dx)