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Things to remember for implicit differentiation:

  • since y is a function of x, any derivative involving y must use the chain rule
      
  • since y is a function of x, taking the derivative of xy (or of any other product involving both x and y) requires the product rule
      
  • since y is a function of x, taking the derivative of  (or any other quotient involving both x and y) requires the quotient rule
      
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