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Math Help - have I differentiated this correctly?

  1. #1
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    have I differentiated this correctly?



    for above question I think I've gone about it correctly, just looking for a bit of verification or any pointers if I've made an error.

    Here goes: (SORRY, NOT SURE WHY THE Pi SYMBOL HAS PASTE INTO THAT LITTLE SQUARE THING)

    y = 6000 cos(t/6 - /4)
    dy/dt = d/dt[6000 cos(t/6 - /4)]
    = 6000*d/dt[cos(t/6 - /4)]
    = 6000* sin(t/6 - /4)* d/dt(t/6 - /4)
    = 6000* sin(t/6 - /4)* /6
    = 6000/6 * sin(t/6 - /4)
    = 1000 sin(t/6 - /4)
    Flow = = 1000 sin(t/6 - /4)
    NOTE:
    d/dt(t/6 - /4) = d/dt(t/6) - d/dt( /4)
    = /6*d/dt(t) – 0 since derivative of constant is 0
    = /6 *1
    = /6


    THANKS!
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  2. #2
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    All admirably thorough, bobchiba - except, check the derivative of cos!
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  3. #3
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    Thank you for your reply.
    sorry, could you explain where I have gone wrong..

    Thank you.
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  4. #4
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    \frac{d}{dx}\ cos(x) = -\ sin(x)
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