1. AP CALCULUS FACTS Things you MUST know for the Exam!!! Created by Bryan Passwater

2. Derivative Facts For the following functions, state the derivative

3. Created by Bryan Passwater Derivative Facts If f(u) = sin(u) f’(u)= cos(u)∙u’

4. Created by Bryan Passwater Derivative Facts

5. Created by Bryan Passwater Derivative Facts If f(u) = tan(u) f’(u)= sec²(u)∙u’

6. Created by Bryan Passwater Derivative Facts

7. Created by Bryan Passwater Derivative Facts If f(u) = cos(u) f’(u)= -sin(u)∙u’

8. Created by Bryan Passwater Derivative Facts If f(u) = csc(u) f’(u)= -csc(u)cot(u)∙u’

9. Created by Bryan Passwater Derivative Facts If f(x) = g(h(x)) f’(x)= g’(h(x))∙h’(x)

10. Created by Bryan Passwater Derivative Facts

11. Created by Bryan Passwater Derivative Facts

12. Created by Bryan Passwater Derivative Facts If f(u) = sec(u) f’(u)= sec(u)tan(u)∙u’

13. Created by Bryan Passwater Derivative Facts

14. Created by Bryan Passwater If f(x) = u·v Derivative Facts f’(x)=u’∙v + v’∙u

15. Created by Bryan Passwater If f(u) = c c is a constant Derivative Facts f’(u)= 0

16. Created by Bryan Passwater Derivative Facts

17. Created by Bryan Passwater Derivative Facts

18. Created by Bryan Passwater Derivative Facts If f(u) =ln (u)

19. Created by Bryan Passwater Derivative Facts

20. Created by Bryan Passwater Derivative Facts If s(t) is position Then s’(t) =

21. Created by Bryan Passwater Derivative Facts If v(t) is velocity Then v’(t) =

22. Created by Bryan Passwater Integration Facts State the anti-derivative for the following indefinite integrals

23. Created by Bryan Passwater Integration Facts

24. Created by Bryan Passwater Integration Facts

25. Created by Bryan Passwater Integration Facts

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27. Created by Bryan Passwater Integration Facts

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35. Created by Bryan Passwater Integration Facts

36. Created by Bryan Passwater Integration Facts

37. Created by Bryan Passwater Important Theorems

38. Created by Bryan Passwater