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Math Help - derivative of trig function

  1. #1
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    derivative of trig function

    When I take the derivative of

    sin(2x+3), I have cos(2x+3)2 or 2cos(2x+3)

    Would someone tell me what to do with taking a derivative of

    sin((2x+3)/5)? Do I treat it as a quotient rule or what?
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  2. #2
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    You can use the quotient rule to calculate the derivative of \frac{2x + 3}{5}, but it's easier to write it as \frac{2}{5}x + \frac{3}{5} and calculate the derivative of that.
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  3. #3
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    That' great! so 2/5cos((2x+3)/5)

    If it is y=(2sin2x)/(x+3), there is no alternative but the quotient rule?
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  4. #4
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    In the last problem, you have no option but the quotient rule, that I know of yet.
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