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Math Help - Can someone confirm if I did this logarithmic differentiation problem correctly?

  1. #1
    s3a
    s3a is offline
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    Can someone confirm if I did this logarithmic differentiation problem correctly?

    Question:
    y = (sin x)^x y' = ?

    My work is attached. I just want to know (a) If my attached work is correct. (b) IF I can do this without using logarithmic differentiation.

    Any input is greatly appreciated!
    Thanks in advance!
    Attached Files Attached Files
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  2. #2
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    It all looks correct to me.
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