Are the following statements true or false?

 1. All functions with positive derivatives are increasing.

 2. All exponential functions are differentiable.

 3. All polynomials are differentiable.

 4. All differentiable functions are continuous.

 5. All exponential functions are rational functions.

 6. All continuous functions are differentiable.

You can earn 30% partial credit for 2 - 3 correct answers, and 60% partial credit for 4 - 5 correct answers.