5. Let f(x,y) = (x2/y) + (y2/x) for x > 0 and y > 0. Then
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A. (2y/x2) – (2x/y2) |
B. (2x2/y3) + (2/x) |
C. (2x/y2) – (2y/x2) |
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D. (2/y) + (2y2/x3) |
E. -(2x/y2)-(2y/x2) |
Solution: The answer is E
Since,
First, find the partial derivative of f with respect to y and then take the partial derivative with respect to x of that solution, as follows:
