Cam's Amazing Calculus Crossword

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Across
  1. 3. The limit of sinx\x as x approaches zero equals what?
  2. 4. What is the point of inflection for x^3?
  3. 9. The limit of (x^2 + 3x)\x as x approaches zero is what?
  4. 11. f(c) = 1\(b - a) times the integral of f(x) from a to b is the what theorem? (Two Words)
  5. 13. An equation involving 2 or more variables that are differentiated functions of time can be used to find an equation that relates to corresponding rates
  6. 14. A point where the graph has a tangent line and the concavity changes
  7. 17. Determined by taking coefficients of the highest degree in the numerator over the denominator (Two Words)
  8. 19. The derivative of a function is positive when the function is what?
  9. 23. A point within a domain where f' = 0 or f' does not exist (Two Words)
  10. 24. Series A representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point is the definition of what?
  11. 25. If a function f is not continuous at a point c, then c is a point of what of f?
  12. 27. A method of integrating complex integrals where you replace the function with u is what?
  13. 28. The derivative of lnx is what?
  14. 29. Function A function for which f(-x) = f(x) for every x in the domain of f
Down
  1. 1. A function defined by applying different formulas to different parts of its domain is a what function?
  2. 2. Up If the second derivative is positive at a certain interval, then the graph is what at that interval?
  3. 5. Integral of sinx from 0 to t equals what?
  4. 6. What is the first-order numerical procedure for solving ordinary differential equations with a given initial value? (Two Words)
  5. 7. Left-hand endpoint rectangular approximation method is denoted as what?
  6. 8. The derivative of a function is negative when the function is what?
  7. 10. The integral of a function is the what under the curve?
  8. 12. Process for finding dy\dx when y is defined as a function as a function of x by an equation of the form f(x,y) = 0 is what differentiation?
  9. 15. L(x) = f(a) + f'(a)(x - a)
  10. 16. What rule is this: d\dx(uv) = u(dv\dx) + v(du\dx)
  11. 18. x - (x^3)\3 + (x^5)\5 - (x^7)\7 + ... is a Maclaurin Series for what?
  12. 20. What are Maximums and Minimums?
  13. 21. What is the radius of convergence for the Maclaurin Series of e^x?
  14. 22. What is the anti derivative of 1\x?
  15. 26. Find length of a curve of y = (1\6) x^3 + (1\2) x^-1 from x = 1 to x = 2
  16. 27. Derivative of secx equals what?