AP Calculus Project

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Across
  1. 4. When f '(x) is increasing, f(x) is
  2. 7. if terms grow without bound, series diverges
  3. 8. ∫ f(x) dx on interval a to b = F(b) - F(a)
  4. 9. polynomial with infinite number of terms, includes general term
  5. 12. When f '(x) changes fro positive to negative, f(x) has a
  6. 15. if f(x) is continuous and differentiable, slope of tangent line equals slope of secant line at least once in the interval (a, b)
  7. 17. When f '(x) is negative, f(x) is
  8. 18. When f '(x) is positive, f(x) is
  9. 19. slope of vertical line
  10. 23. alternating series converges and general term diverges with another test
  11. 24. alternating series converges and general term converges with another test
  12. 25. absolute value of velocity
Down
  1. 1. uv' + vu'
  2. 2. When f '(x) changes from negative to positive, f(x) has a
  3. 3. use to find indeterminate limits, find derivative of numerator and denominator separately then evaluate limit
  4. 5. has limits a & b, find antiderivative, F(b) - F(a)
  5. 6. (uv'-vu')/v²
  6. 10. When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a
  7. 11. use rectangles with left-endpoints to evaluate integral (estimate area)
  8. 13. if integral converges, series converges
  9. 14. lim as n approaches zero of general term = 0 and terms decrease, series converges
  10. 16. use trapezoids to evaluate integrals (estimate area)
  11. 20. f '(g(x)) g'(x)
  12. 21. slope of horizontal line
  13. 22. When f '(x) is decreasing, f(x) is