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AP Calculus Slides October 31, 2007

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Introduction to derivative rules. Proofs of some simple derivative rules.

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AP Calculus Slides October 31, 2007

  1. 1. Derivatives Rule! Even dogs can do it ... NooNoo studying calculus
  2. 2. The Definition of a Derivative Mathematics is the science of pattern ... let's look for some patterns ... Let's use the definition to find some derivatives ...
  3. 3. The Derivative of a Linear Function If then Proof: Example: Find the derivative of
  4. 4. The Derivative of a Constant Function If then Proof: Example: Find the derivative of
  5. 5. The Derivative of a Constant Times a Function Proof: Example: Find the derivative of
  6. 6. The Derivative of a Sum of Functions Proof:
  7. 7. The Derivative of a Difference of Functions Proof:
  8. 8. The Derivative of a Power Function Proof:
  9. 9. Example: Find the derivative of

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