Yay Calculus

Edit Answers
123456789101112131415161718192021222324252627282930313233343536373839
Across
  1. 1. ways a limit can't exist: f(x) approaches ___________ from left and right
  2. 7. ____________ implies continuity; if f is at x=c, then f is continuous at x=c
  3. 8. ___________ rate of change; the limit as h approaches zero of (f(x+h)-f(x))/(h)
  4. 10. _____ rule; d/dx[f(g(x))]=f'(g(x))g'(x)
  5. 12. s'(t) or v(t)
  6. 16. derivative of an ______ function; g'(x)= 1/(f'(g(x))
  7. 17. ______ point; f'(x)=0 or undefined
  8. 19. ways a limit can't exist: increases or decreases without ________
  9. 20. ______ rate of change; (f(b)-f(a))/(b-a)
  10. 22. _______ rule; d/dx(f(x)g(x))=f'(x)g(x)+f(x)g'(x)
  11. 25. our second AP Calculus AB teacher
  12. 26. plus a ______ (integration)
  13. 27. f'(x)=0 and sign of f'(x) goes from + to -
  14. 29. ____ integration; only outer radius
  15. 30. ways a limit can't exist: f(x) __________ between two fixed values
  16. 31. our first AP Calculus AB teacher
  17. 34. d/dx (______)=-1/√(1-x^2)
  18. 35. creator of calculus
  19. 38. ____________ value theorem; a function is continuous on [a,b], and y is a # between f(a) and f(b), then there exists at least one # x=c in the open interval (a,b) such that f(c)=y
Down
  1. 2. ___________ theorem of calculus
  2. 3. ________ differentiation; differentiate everything with respect to x, then add dy/dx if the variable is y, then solve for dy/dx
  3. 4. ________ rule; d/dx(f(x)/g(x))= (f'(x)g(x)-f(x)g'(x))/g(x)^2
  4. 5. d/dx(_____)=1/√(1-x^2)
  5. 6. d/dx (______)=-1/(1+x^2)
  6. 9. s"(t) or a(t)
  7. 11. d/dx (______)=1/(|x|√(x^2-1))
  8. 13. ________ value theorem; if f(x) is continuous on [a,b], its guaranteed to have an absolute maximum
  9. 14. d/dx (______)=-1/(|x|√(x^2-1))
  10. 15. _______ point f"(x) goes from (+ to 0 to -) or (- to 0 to +)
  11. 18. a rectangular approximation for integrating
  12. 20. the integral of f(x) from b to a times 1/(b-a) is equal to
  13. 21. the limit as x approaches c of f(x)/g(x) = the limit as x approaches c of f'(x)/g'(x)
  14. 23. f'(x)=0 and sign of f'(x) goes from - to +
  15. 24. _______ theorem; squash
  16. 25. s(t)
  17. 28. a function f is continuous at c if the limit as x approaches c of f(x) ______
  18. 32. a function f is continuous at c if f(c) is __________
  19. 33. d/dx (______)=1/(1+x^2)
  20. 36. ______ integration; outer and inner radius
  21. 37. d/dx(__)=1/x
  22. 39. ______ value theorem; instantaneous rate of change = average rate of change