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Some Standard Substitutions

Expression Substitution
85203.png x = a sin θ or a cos θ
85197.png x = a tan θ or a cot θ
85190.png x = a sec θ or a cosec θ
85184.png x = a cos θ or a cos 2θ

Theorems on Derivatives

  1. 85178.png
  2. 85172.png where k is any constant
  3. 85166.png
     
    In general,
     
    85160.png
    85154.png
     
    85148.png
  4. 85142.png




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