ddx (sec(x)tan(x))=sec(x)+2sec3(x)
 
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ddx (sec(x)tan(x))=sec(x)+2sec3(x)
  • steps
  • ddx (sec(x)tan(x))

  • Apply the Product Rule:    (f·g)=f ·g+f·g
    f=sec(x), g=tan(x)
    =ddx (sec(x))tan(x)+ddx (tan(x))sec(x)

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    ddx (sec(x))=sec(x)tan(x)
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    ddx (tan(x))=sec2(x)
    =sec(x)tan(x)tan(x)+sec2(x)sec(x)

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    Simplify sec(x)tan(x)tan(x)+sec2(x)sec(x):    sec(x)+2sec3(x)
    =sec(x)+2sec3(x)

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