Lit Calculus

Lit Calculus

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tan(x) & Vertical Asymptotes

4 of 54

4 of 54

tan(x) & Vertical Asymptotes

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Classroom Contents

Lit Calculus

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  1. 1 Intro to Calculus: Zeno's Paradox
  2. 2 Definition of the Limit
  3. 3 Right- and Left-hand Limits
  4. 4 tan(x) & Vertical Asymptotes
  5. 5 More Vertical Asymptotes: sec^2(x)
  6. 6 Asymptotes of a Rational Function
  7. 7 A Nasty Rational Function
  8. 8 The Limit Laws
  9. 9 Limit Laws & Polynomials
  10. 10 Limit Laws & Rational Functions
  11. 11 Squeeze Theorem
  12. 12 Continuity: 3 ways it fails
  13. 13 Continuity: Two Examples
  14. 14 Continuity: Properties
  15. 15 Intermediate Value Theorem
  16. 16 Rate of Change & Tangent Line
  17. 17 Limit Definition of Derivative
  18. 18 The Derivative as a Function
  19. 19 Derivative of Square Root
  20. 20 Derivative: Power Rule
  21. 21 Derivative: Sum/Difference Rule
  22. 22 Derivative of e^x
  23. 23 Derivative: Product Rule
  24. 24 Derivative: Quotient Rule
  25. 25 Derivative Example Requiring Both Quotient and Product Rule
  26. 26 Derivative of sin(x)
  27. 27 17th derivative of sin(x)
  28. 28 Derivative of tan(x) -- and the other trig functions
  29. 29 Trig derivative example
  30. 30 Motivating Chain Rule
  31. 31 Justifying the Chain Rule
  32. 32 Chain Rule Examples
  33. 33 Derivative of a^x
  34. 34 Intro to Implicit Differentiation
  35. 35 Implicit Differentiation Example
  36. 36 Second Derivative Using Implicit Differentiation
  37. 37 Derivative of ln(x)
  38. 38 Logarithmic Differentiation
  39. 39 Derivative of Arcsine
  40. 40 Derivatives of Inverse Trig Functions
  41. 41 Extrema of Function
  42. 42 Extreme Value Theorem
  43. 43 First Derivative Test
  44. 44 Second Derivative and Concavity
  45. 45 Sketching the Graph of a Polynomial
  46. 46 Sketching Graph of Rational Function
  47. 47 L'Hospital's Rule: Zero Over Zero?
  48. 48 L'Hospital's Rule: Infinity Over Infinity?
  49. 49 L'Hospital's Rule: Infinity Minus Infinity?
  50. 50 L'Hospital's Rule: Zero To The Zero?
  51. 51 Optimization: Closest Point
  52. 52 Optimization: Largest Rectangle in Semicircle
  53. 53 Optimization: Largest Box
  54. 54 Optimization: Largest Cone Cup

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