Home
Class 12
MATHS
If x^3+y^3+3a x y=0 ,f i nd (dy)/(dx)...

If `x^3+y^3+3a x y=0 ,f i nd`
` (dy)/(dx)dot`

Text Solution

Verified by Experts

The correct Answer is:
`(ay-x^(2))/(y^(2)-ax)`
Given `x^(3)+y^(3)-3axy = 0`. From
`(dy)/(dx)=-("differentiating f w.r.t. x keeping y as consant")/("differentiating f w.r.t. y keeping x as constant")`
`=-(3x^(2)-3ay)/(3y^(2)-3ax)=(ay-x^(2))/(y^(2)-ax)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.4|10 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.5|16 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.2|38 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos

  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

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

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

(i). If y=x^(3)-1 , find (dy)/(dx) . (ii). If y=2x^(2)+4 , find (dy)/(dx)

If y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx) at x=1 is

If x = aCos^3 θ and y= aSin^3 θ then dy/dx=

If y=btan^(-1)(x/a+tan^(-1)y/x) ,find (dy)/(dx)dot

If x=acos^3theta,y=bsin^3theta, f i n d (d^3y)/(dx^3) at theta=0.

Let y=x^3-8x+7a n dx=f(t) and (dy)/(dx)=2a n dx=3 at t=0, then find the value of (dx)/(dt) at t = 0

If y = sin^(3) x + cos^(3) x then find dy/dx .