Home
Class 12
MATHS
Find (dy)/(dx) in the following : x^(3...

Find `(dy)/(dx)` in the following :
`x^(3)+x^(2)y+xy^(2)+y^(3)= 81`.

Text Solution

Verified by Experts

The correct Answer is:
`-((3x^(2)+2xy+y^(2)))/((x^(2)+2xy+3y^(2)))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.4|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.5|18 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.2|10 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) in the following : x^(2)+xy+y^(2)= 100

Find (dy)/(dx) in the following : 2x+3y= sin x

Find (dy)/(dx) in the following : xy+y^(2)= tan x+y .

Find (dy)/(dx) in the following : sin^(2)y+cos xy=k .

Find (dy)/(dx) in the following : 2x+3y= sin y .

Solve xy^(2)dy -(x^(3)+y^(3))dx=0 .

Find the product of the following monomials x^(4)y, x^(3)y, xy^(2), x^(3)

Find the product of the following monomials x^2y,x^(2)y,xy,xy^3

Solve (x^(3)-3xy^(2))dx+(3x^(2)y-y^(3))dy=0