Suppose $f'(x)$ is a differentiable increasing function for all $x$. In each of the following pairs, which number is the larger?
For each, enter A or B.

1. Comparing A. $f'(6)$ and B. $f'(7)$ : is larger

2. Comparing A. $f''(6)$ and B. 0 : is larger

3. Comparing A. $f(6+\Delta x)$ and B. $f(6)+f'(6)\Delta x$ : is larger

For each, make sure that you can explain why.