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Thread: Differentiate with respect the right variable

  1. May 11th 2010, 06:59 AM #1
    coolhacker
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    Smile Differentiate with respect the right variable

    Hi

    i really need help with these questions:

    1. y=sin t cos t

    2. y= e^x/sin2x

    plz help me solve these problems

    thxx
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  2. May 11th 2010, 07:07 AM #2
    mohammadfawaz
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    1) \frac{dy}{dt} = (sin(t))'cos(t) + sin(t)(cos(t))' = (cos(t))^2-(sin(t))^2
    2) \frac{dy}{dx} = \frac{(e^x)'sin(2x)-e^x(sin(2x))'}{(sin(2x))^2} = \frac{e^x sin(2x)-2e^x cos(2x)}{(sin(2x))^2}
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