f is a differentiable function for all x. Which of the following statements must be true?

Question

f is a differentiable function for all x. Which of the following statements must be true?(2 points)

1. 
2. 
3. 

A	II only
B	III only
C	I and II only
D	II and III only

Answer 1

The answer is C.

The integral in I is a constant and the derivative of that constant is 0.

The integral in II F(x)-F(2) and the derivative is f(x) where F'(x)=f(x)

In the last one the result is f(x)-f(2)!