6. If f(x) = xex/sin(x) for 0 < x <
p , then f’(x) =|
A. ex/cosx |
B. ex(x+1)/cosx |
|
C.ex[sinx+xcosx]/sin2x |
D.ex[x(sinx+cosx)+sinx]/sin2x |
|
E.ex[x(sinx-cosx)+sinx]/sin2x |
|
Solution: The answer is E
Use the quotient rule and the product rule for differentiating f(x), as follows,