Project #13600 - calculus 1

1. If you know that the derivative of f is positive on an interval, what can you say about the behavior of f on that interval?

2. If f is decreasing on an interval, what do you know about the sign of its derivative on that interval?

3.What is the derivative of a constant function?

4.What is the derivative of a linear function of the form y = mx + b?

5.What is the derivative of a power function of the form f(x) = x^n?

6.If f is concave up on an interval, what can you say about the sign of its second derivative on that interval?

7.If the second derivative of f is negative on an interval, what can you say about the concavity of f on that interval?

8.If a function is concave down on an interval, what can you say about the behavior of its derivative on that interval?

9.If the derivative of f is decreasing on an interval, what can you say about the sign of the second derivative of f?

10.We have talked about the first derivative representing velocity. What does the second derivative represent?

Subject Mathematics
Due By (Pacific Time) 09/30/2013 03:00 am
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