Calculus Puzzle

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Across
  1. 2. f(x)=f'(a)(x -a) + f(a)
  2. 6. A method of integration
  3. 8. lim(f(x) - f(a))/(x - a) as x->a
  4. 9. An antiderivative of 1/(x^2 + 1)
  5. 11. (f(g(x))'=f'(g(x))g'(x)
  6. 12. dx/dt
  7. 13. Definite integral of sin(x) from 0 to Pi
  8. 15. A rule to approximate definite integrals.
  9. 18. The solution of the DE dy/dx = ky is this type of function1. If f'(x) < 0 then f is _______________
  10. 19. (definite integral)/(b-a)
  11. 20. dx or dy ( differential)
  12. 21. (fg)' = f'g + gf' (two words)
  13. 23. Graphical representation of a 1st order differential equation
Down
  1. 1. If f'(x) < then f is _______________
  2. 3. If f(x) -> infinity as x -> a, then x = a is a _________
  3. 4. Differentiability implies ________________
  4. 5. (x^n)' = n x^(n-1)
  5. 7. limit of a Riemann sum
  6. 10. lim (sin(x)/x) as x approaches zero
  7. 14. f'(x) = 0 or undefine
  8. 16. definite integral of |v(t)|
  9. 17. Concavity changes here
  10. 22. A function such that f(-x) = -f(x) for all x