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Notation: Partial differentiation

Notation: Partial differentiation. A ) Explicitly describe function f by writing down an association rule in terms of a and b. How much does f vertically change when we jiggle in the horizontal a - b plane along various directions ?. a. b. Notation: Partial differentiation.

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Notation: Partial differentiation

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  1. Notation: Partial differentiation A) Explicitlydescribe function f by writing down an association rule in terms of a and b How much does fverticallychange when we jigglein the horizontala-b plane along various directions? a b

  2. Notation: Partial differentiation A) Explicitlydescribe function f by writing down an association rule in terms of a and b How much does fverticallychange when we jigglein the horizontala-b plane along various directions? B) Reserve ∂, read as “partial,” to denote slopes along one variable holding all others fixed (i.e. move only aorb, not both). Look at slope in this a b By exclusively varying this variable

  3. Notation: Partial differentiation A) Explicitlydescribe function f by writing down an association rule in terms of a and b How much does fverticallychange when we jigglein the horizontala-b plane along various directions? B) Reserve ∂, read as “partial,” to denote slopes along one variable holding all others fixed (i.e. move only aorb, not both). a b b0

  4. Notation: Partial differentiation A) Explicitlydescribe function f by writing down an association rule in terms of a and b How much does fverticallychange when we jigglein the horizontala-b plane along various directions? B) Reserve ∂, read as “partial,” to denote slopes along one variable holding all others fixed (i.e. move only aorb, not both). a b

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