6. Let f(x,y) = xey/(xy + 3) for xy > 0. What is

A. ey/y

B. –3ey/(xy + 3)2

C. 3ey/(xy + 3)2

D.(2xyey + 3ey)/(xy + 3)2

E. (ey - xyey)/(xy + 3)

 

Solution: The answer is C

 

Use the Quotient Rule and the Product Rule to find the partial derivative of f with respect to x, as follows: