Chain Rules for Functions of Several Variables

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Section 13.5

• Chain Rules for Functions of Several Variables

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Theorem 13.6 Chain Rule One Independent
Variable and Figure 13.39
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Examples

• Find using the appropriate Chain Rule.
• 1)
• 2)

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Example

• Differentiate implicitly to find the first
  partial derivatives of w.

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Theorem 13.7 Chain Rule Two Independent
Variables and Figure 13.41
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Example

• Find and using the appropriate
  Chain
• Rule
• wxcosyz

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Theorem 13.8 Chain Rule Implicit Differentiation