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Differentiation

Basic Derivatives

Chain, Product, and Quotient Rule
  • Chain Rule:
  • Product Rule:
  • Quotient Rule:
Parametric Equations

  • In a parametric equation, x and y are given in terms of t and you must use the above rule to find the derivative.
Implicit Functions
  • These represent circles or lines with circular curves, on a Cartesian plane.
  • They are difficult to rearrange in the form y = …, hence, differentiate as is.
  • Differentiate x terms as usual
  • For y terms, differentiate the same as you would x but multiply with dy/dx
  • Then make dy/dx the subject of the formula for the derivative
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