1. THE APCALC FLSH CARDS:APPLICATIONS FOR DERIVATIVES CREATED BY GREG PRODUCED BY BEN PRESENTED BY DAN

2. A LOCAL MAX IS:

3. WHERE THE DERIVATIVE SIGN CHANGES FROM POSITIVE TO NEGATIVE

4. A LOCAL MINIMUM IS:

5. WHERE THE DERIVATIVE SIGN CHANGES FROM NEGATIVE TO POSITIVE

6. A GRAPH IS CONCAVE UP/DOWN WHEN:

7. UP WHEN THE SECOND DERIVATIVE IS POSITIVE DOWN WHEN THE SECOND DERIVATIVE IS NEGATIVE

8. TO FIND A POINT OF INFLECTION, YOU:

9. FIND SECOND DERIVATIVE. SET EQUAL TO ZERO AND SOLVE FOR CRITICAL VALUES. PLACE ON NUMBER LINE WITH POINTS WHERE ORIGINAL F(X) IS UNDEFINED. WHERE THERE ARE SIGN CHANGES, THERE IS A POINT OF INFLECTION.

10. THE RELATIONSHIP BETWEEN POSITION, VELOCITY AND ACCELERATION IS:

11. POSITION = S(T) VELOCITY = S’(T) OR V(T) ACCELERATION = S”(T) OR V’(T) OR A(T)