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Section 13.3 Partial Derivatives

Section 13.3 Partial Derivatives. Calculus III November 3, 2009 Berkley High School todd1@toddfadoir.com. Def’n. In the first, we are holding y constant, finding only how the level curve is changing as x is changing.

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Section 13.3 Partial Derivatives

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  1. Section 13.3Partial Derivatives Calculus III November 3, 2009 Berkley High School todd1@toddfadoir.com

  2. Def’n In the first, we are holding y constant, finding only how the level curve is changing as x is changing. In the second, we are holding x constant, finding how the level curve changes as y is changing.

  3. Notation

  4. Rules for Finding Partial Derivatives

  5. Example

  6. Example

  7. Higher Derivatives

  8. Example

  9. Clairaut’s Theorem

  10. Assignment • 13.3, 5-39 odd, 45-65 odd

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