Home
Class 12
MATHS
If w(x,y) = x^(3) - 3xy + 2y^(2), x , y...

If `w(x,y) = x^(3) - 3xy + 2y^(2), x , y in R`, find the linear approximation for w at (1,-1).

Text Solution

Verified by Experts

The correct Answer is:
`6x-7y-7`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.6|8 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.7|6 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.4|10 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise Additional Question Solved|20 Videos

Similar Questions

Explore conceptually related problems

If w(x, y) = x^(3) - 3xy + 2y^(2), x, y in RR , find the linear approximation for w at (1, -1).

Let z(x, y) = x^(2)y + 3xy^(4), x, y in RR . Find the linear approximation for z at (2, -1).

Let z(x,y) =x^(2)y + 3xy^(4), x,y in R . Find the linear approximation for z at (2,-1).

If U(x,y,z) = x ^(2) + 2xy + y ^(2) z - z ^(2) find the linear approximation for U at (1, -1,2)

Let W(x,y,z) =x^(2) - xy + 3 sin z, x,y,z in R , Find the linear approximation at (2,-1,0).

If W(x, y, z) = x^(2) - xy + 3 sin z, x, y, z in RR . Find the linear approximation at (2, -1, 0).

If v(x,y) =x^(2) -xy + 1/4 y^(2) +7, x,y in R , find the differential dv.

If v(x, y) = x^(2) - xy + (1)/(4)y^(2) + 7, x, y in R , find the differential dv.

If W = x ^(2) + y ^(2) + z^(2), x,y,z in R find the differential dW.

If w(x,y,z) = x^2y+y^2z + z^2x,x,y,z in R, find the differential dw.

Home
Profile