Home
Class 12
MATHS
Let f(x,y) = 0 if xy ne 0 and f (x,y) =...

Let f(x,y) = 0 if `xy ne 0 and f (x,y)` = 1 if xy = 0 .
(i) Calculate : `(delf)/(delx)(0,0),(delf)/(dely)(0,0)`
(ii) Show that f is not continuous at (0,0)

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.1|13 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.2|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|18 Videos
  • DISCRETE MATHEMATICS

    NCERT TAMIL|Exercise Exercise 12.3 (Choose the correct or the most suitable answer from the given four alternatives)|20 Videos

Similar Questions

Explore conceptually related problems

Let F (x,y) = x^3y +y^2x+7 for all (x,y) in R^2 . Calculate (delF)/(delx)(-1,3) and (del F)/(dely) (-2,1)

If f(x,y) = 1/(sqrt(x^2+y^2)) then show that x(delf)/(delx)+y(delf)/(dely) = -f

If f = (x+y)/(sqrt(x-y)) then x (delf)/(delx) +y (delf)/(dely) is :

Let g(x,y) = (e^(y) sin x)/x , for x ne 0 and g(0,0) =1. Show that g is continous at (0,0).

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

If f (x,y) =e ^(xy) then (del^(2)f)/(delx dely) at (1,1) is:

If u = cos ^(-1) ((x)/(y)) prove that x (del u)/(delx) + y (del u)/(dely)=0.