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Math Help - Trig derivatives/anti-derivatives

  1. #1
    Junior Member
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    May 2008
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    Trig derivatives/anti-derivatives

    I have this function:

    v'=cos(2x)

    and I'm told that

    v=[sin(2x)]/2

    Does that mean if I have a trig function, say

    f= [sin(5x)]/5

    then
    f'=cos(5x)?

    or if

    g=[cos(5x)]/5
    then
    g'=-sin(5x)?
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  2. #2
    MHF Contributor
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    Yes, all those statements are true. When integrating trig functions with a coefficient, you divide by this number to cancel out the extra coefficient when taking the derivative and using the chain rule.
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