8. Let f(x) = x2 ln x – (x3 + 3)/2x for x > 0. Then f’(x) =
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A. 2 – (3x2/2) |
B. 2x ln x + x – (3x2/2) |
C. 2x ln x + (3/2x2) |
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D. 2x ln x + 2x - (3/2x2) |
E. 2 – x + (3/2x2) |
Solution: The answer is C
Rewrite f(x) and use the product rule to differentiate with respect to x as follows: