Sketch the graph of the derivative of each of the ...



FILL IN THE BLANK NAME ________________________________

1. If [pic]is increasing, then [pic] is ________________________.

2. [pic] is negative if [pic] is _____________________.

3. [pic] is positive if [pic] is _____________________.

4. [pic] is negative if [pic] is _____________________.

5. If [pic] is concave down, then [pic] is ______________________.

6. If [pic] is increasing, then [pic] is _______________________.

7. If [pic] is decreasing, then [pic] is ______________________.

8. If [pic] and [pic], then [pic] looks like ______________________.

9. If [pic] is an exponential decay curve, then [pic] is ___________________ and

____________________.

10. If [pic] has an inflection point, then [pic] has a change in _____________________.

11. If [pic] has a horizontal tangent, then [pic] has a _____________________.

12. If [pic], then [pic] has a _____________________ at ___________.

13. If [pic] has a change of sign and is always defined, then [pic] has either a _______________

or _________________.

14. If [pic] has a corner at [pic], then [pic] is ____________________.

15. If [pic] for all values of x, then [pic] is ______________________.

16. If [pic] for all values of x, then [pic] is ______________________.

17. If [pic] and [pic], then [pic]__________________.

18. If [pic] is concave down everywhere, then [pic] is ____________________.

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