14. What is the derivative of f(x) = 4x(x2 + 1)3 ?

A.4(x2 + 1)2(x2 + 3x + 1)

B. 4(x2 + 1)2(7x2 + 1)

C. 8x2(x2 + 1)3

D. 12x(x2 + 1)2

E. 24x2(x2 + 1)2

 

Solution: The answer is B

 

Use the Product Rule and the Chain Rule to differentiate as follows: