2. If f(x) = (x e3x)/(1 + x) for x ¹ 1, then f’(1) = ?

A. 3e3/4

B. 5e3/4

C. 7e3/4

D. 9e3/4

E. 4e3

 

Solution: The answer is C

 

Take the derivative of f(x) by using both the product and quotient rules. So that,

Substitute, x = 1, in the above equation to solve for f’(1). As follows,