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If f (x,y) =e ^(xy) then (del^(2)f)/(del...

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

A

`-e`

B

`2/e`

C

`2e`

D

`e`

Text Solution

Verified by Experts

The correct Answer is:
C
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PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-PROBLEMS FOR PRACTICE
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  2. If u = (1)/(root 3 (x^(3) + y ^(2))) then x (del u)/(del x) + (del u )...

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

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  4. A cube of side is without the top. If the edge length varies from x (0...

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  6. If x = r cos theta, u = r sin theta then (del theta)/(del x) is:

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  7. If f (x,y) =x ^(2) + xy+y ^(2),x =t ,y=t ^(2) then (df )/(dt)=

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  8. If f (x) =(1)/(x +1) then its differentiate is given by :

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  9. If u (x,y) =x ^(2) + 2xy-y ^(2) then (del u)/(del x) + (delu)/(del y) ...

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  10. Linear approximation of f (x) = 2x^(2) + 3x at x =1 is:

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  11. The approximate value of sqrt (9.2) is:

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  12. If the absolute error while calculating the absolute error in volume o...

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  13. lim ((x,y) to(1,0))(x ^(2) + y ^(2))/(x - 2y ) is :

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  14. f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous funct...

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  15. A function f (x,y) is said to be harmonic if (del^(2)f)/(del x ^(2)) +...

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  16. If f (x,y) =e ^(2x+3y) find 3f(x) (0,0) - 2f(y) (0,0):

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  17. Find dy if y = (x-2)/( 2x +3) for x =2, dx =1.

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  18. If u =x ^(2) + y ^(2) evaluate (del^(2)f)/(del x ^(2)) + (del ^(2) f)/...

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  19. If u (x,y) = (x ^(2))/( y)- (2y ^(2))/(x) then (del^(2) u)/(del x dely...

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  20. If f (x,y) is homogeneous function of degree 5 then x (del f)/(delx) +...

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