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Using Leibniz Notation

Some 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.

With these things in mind, we're ready to get cracking.

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