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Computing Derivatives

Computing Derivatives

Using Lagrange Notation

Not a fan of Leibniz notation? We can do implicit differentiation with Lagrange notation just as well.

Things to remember for implicit differentiation with Lagrange notation:

  • x' = 1.
  • 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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