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Math Help - Sinusoidal derivative

  1. #1
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    Sinusoidal derivative

    Please help solving this.
    1. If y= sin^3(4pix), show what d^2y/dx^2 - 3pi^2y will equal. If you were given what the expression equal, could you prove the equality?

    To see the equations (as i couldn't type them properly), look at the picture at question 6.Sinusoidal derivative-snapshot_20130407_2.jpg
    Thanks.
    Attached Thumbnails Attached Thumbnails Sinusoidal derivative-question.jpg  
    Last edited by onehundredpercenteffort; April 7th 2013 at 03:07 PM.
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  2. #2
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    Re: Sinusoidal derivative

    You have to find the 2nd derivative of y with respect to x, then substract sin^3(4pix) multiplied by 3*pi^2 from what you got. Where are you having difficulties?
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  3. #3
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    Re: Sinusoidal derivative

    i got the first derivative, but has trouble with the 2nd derivative. I have a test on this tmrw.
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  4. #4
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    Re: Sinusoidal derivative

    Can you show us what you got for your first derivative and what you have tried to get your second derivative?
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