Applications for derivatives
- 1. THE APCALC FLSH CARDS:APPLICATIONS FOR DERIVATIVESCREATED BY GREGPRODUCED 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 POSITIVEDOWN 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)