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The Infinite Looper
  • 12 years ago
Proof that the derivative of any constant is zero. Also has two brief examples, mostly for the notation.

Calculus I - P3 - Derivative Rules and Proofs

  1. Calculus I - Derivative of a Constant is Zero - Proof and Two Examples
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  2. Calculus I - Power Rule for Positive Integer Powers - Proof and Two Examples
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  3. Calculus I - Constant Multiple Rule - Proof and Two Examples
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  4. Calculus I - Derivatives of Logarithmic Functions - Proofs
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  5. Calculus I - The Inverse Function Theorem - Explanation
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  6. Calculus I - Derivatives of Exponential Functions - Proofs
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  7. Calculus I - Derivatives of Sine and Cosine Functions - Proofs
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  8. Calculus I - Derivatives - Sum and Difference Rules - Proofs
    The Infinite Looper
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  9. Calculus I - Derivatives - Sum and Difference Rules - Example 1
    The Infinite Looper
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  10. Calculus I - Derivatives - Sum and Difference Rules - Example 2
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  11. Calculus I - Derivatives - Sum and Difference Rules - Example 3
    The Infinite Looper
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  12. Calculus I - Derivatives - Power Rule (for all real exponents) - Proof and Example 1
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  13. Calculus I - Derivatives - Power Rule (real exponents) - Example 2
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  14. Calculus I - Derivatives - Power Rule (real exponents) - Example 3
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  15. Calculus I - Derivatives - Product Rule - Proof
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  16. Calculus I - Derivatives - Product Rule - Example 1
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  17. Calculus I - Derivatives - Product Rule - Example 2
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  18. Calculus I - Derivatives - Product Rule - Example 3 - Three Factors
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  19. Calculus I - Derivatives - Quotient Rule - Proof
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  20. Calculus I - Derivatives - Quotient Rule - Example 1
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  21. Calculus I - Derivatives - Quotient Rule - Example 2
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  22. Calculus I - Derivatives - Quotient Rule - Example 3
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  23. Calculus I - Derivative of Tangent Function tan(x) - Proof
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  24. Calculus I - Derivative of Secant Function sec(x) - Proof
    The Infinite Looper
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  25. Calculus I - Derivative of Cosecant Function csc(x) - Proof
    The Infinite Looper
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  26. Calculus I - Derivative of Cotangent Function cot(x) - Proof
    The Infinite Looper
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  27. Calculus I - Derivatives - Trig Functions (Summary/Recap, Patterns, Similarities)
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  28. Calculus I - Derivative of Inverse Sine Function arcsin(x) - Proof
    The Infinite Looper
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  29. Calculus I - Derivative of Inverse Cosine Function arccos(x) - Proof
    The Infinite Looper
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  30. Calculus I - Derivative of Inverse Tangent Function arctan(x) - Proof
    The Infinite Looper
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  31. Calculus I - Derivative of Inverse Cotangent Function arccot(x) - Proof
    The Infinite Looper
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  32. Calculus I - Derivative of Inverse Secant Function arcsec(x) - Proof
    The Infinite Looper
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  33. Calculus I - Derivative of Inverse Cosecant Function arccsc(x) - Proof
    The Infinite Looper
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  34. Calculus I - The Chain Rule - Part 1 of 3 - Introduction and Informal Explanation
    The Infinite Looper
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  35. Calculus I - The Chain Rule - Part 2 of 3 - Flawed 'Proof' and an Extended Version of the Chain Rule
    The Infinite Looper
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  36. Calculus I - The Chain Rule - Part 3 of 3 - Detailed Proof and Explanation
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  37. Calculus I - Chain Rule - Example 1 of 10
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  38. Calculus I - Chain Rule - Example 2 of 10
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  39. Calculus I - Chain Rule - Example 3 of 10
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  40. Calculus I - Chain Rule - Example 4 of 10
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  41. Calculus I - Chain Rule - Example 5 of 10
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  42. Calculus I - Chain Rule - Example 6 of 10
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  43. Calculus I - Chain Rule - Example 7 of 10
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  44. Calculus I - Chain Rule - Example 8 of 10
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  45. Calculus I - Chain Rule - Example 9 of 10
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  46. Calculus I - Chain Rule - Example 10 of 10
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  47. Calculus I - Derivatives - Another Proof of the Power Rule (for all real exponents)
    The Infinite Looper
    12 years ago
  48. Calculus I - Derivatives - Another Proof of the Quotient Rule
    The Infinite Looper
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  49. Calculus I - Derivative of Hyperbolic Sine Function sinh(x) - Proof
    The Infinite Looper
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  50. Calculus I - Derivative of Hyperbolic Cosine Function cosh(x) - Proof
    The Infinite Looper
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  51. Calculus I - Derivative of Hyperbolic Tangent Function tanh(x) - Proof
    The Infinite Looper
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  52. Calculus I - Derivative of Hyperbolic Cotangent Function coth(x) - Proof
    The Infinite Looper
    12 years ago
  53. Calculus I - Derivative of Hyperbolic Secant Function sech(x) - Proof
    The Infinite Looper
    12 years ago
  54. Calculus I - Derivative of Hyperbolic Cosecant Function csch(x) - Proof
    The Infinite Looper
    12 years ago
  55. Calculus I - Derivative of Inverse Hyperbolic Sine Function arcsinh(x) - Proof
    The Infinite Looper
    12 years ago
  56. Calculus I - Derivative of Inverse Hyperbolic Cosine Function arccosh(x) - Proof
    The Infinite Looper
    12 years ago
  57. Calculus I - Derivative of Inverse Hyperbolic Tangent Function arctanh(x) - Proof
    The Infinite Looper
    12 years ago
  58. Calculus I - Derivative of Inverse Hyperbolic Cotangent Function arccoth(x) - Proof
    The Infinite Looper
    12 years ago
  59. Calculus I - Derivative of Inverse Hyperbolic Secant Function arcsech(x) - Proof
    The Infinite Looper
    12 years ago
  60. Calculus I - Derivative of Inverse Hyperbolic Cosecant Function arccsch(x) - Proof
    The Infinite Looper
    12 years ago

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