Home
Class 12
MATHS
W(x,y,z) = xy + yz + zx, x = u - v, y = ...

W(x,y,z) = xy + yz + zx, x = u - v, y = uv, z = u + v, u, v `in`R. Find `(del w)/(del u) , (del w)/(del v)` and evaluate then at `((1)/(2), 1)`.

Text Solution

Verified by Experts

The correct Answer is:
`((1)(2),1) (delW)/(delv) =2. (1)/(4) -2 =- 3/2`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.7|9 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.8|15 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.5|5 Videos
  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos
  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

Similar Questions

Explore conceptually related problems

Let U(x,y) =e^(x) sin y , where x=st^(2), y =s^(2) t, s, t in R . Find (del U)/(del S), (del U)/(del t) and evaluate them at s=t=1.

If u=(x-y)^(2) , then (del u)/(del x) + (del u)/(del y) is

If v(x,y) = log (e^(x) + e^(y)) , then (del v)/(del x) + (del v)/(del y) is equal to

Let z(x,y) =x^(3) - 3x^(2)y^(3) , where x = se^(t), y =se^(-t), s, t in R . Find (del z)/(del s) and (del z)/(del t)