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Homework Help: Differentiate without using natural logs

  1. Mar 10, 2013 #1
    1. The problem statement, all variables and given/known data

    [itex] 2^{Sin(PiX)} [/itex]

    2. Relevant equations

    3. The attempt at a solution

    = [itex]e^{(Sin(\PiX})ln2 [/itex]

    y'= [itex]e^{(Sin(\PiX})ln2[/itex] d/dx [Sin [itex]\Pi[/itex]X] ln 2

    and I'm stuck.... The product rule will automatically lead to to differentiating ln 2.
  2. jcsd
  3. Mar 10, 2013 #2


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    Science Advisor
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    Gold Member

    ##\ln 2## is just a constant. Just leave it there and differentiate the sine. You can simplify that exponential back to its other form in the answer.
  4. Mar 11, 2013 #3
    I'm an idiot.... Thanks that solved my problem :).
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