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    lny^(e^x)=(2^x)*cosx

    Find the derivative

    I am not sure how to simplify the left hand side:

    would try to ln both sides
    lnY^(e^x)

    But I am really lost on how to proceed with this simplification.
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    (Original post by FloralEssence)
    lny^(e^x)=(2^x)*cosx

    Find the derivative

    I am not sure how to simplify the left hand side:

    would try to ln both sides
    lnY^(e^x)

    But I am really lost on how to proceed with this simplification.
    ln(y^{(e^x)})=e^x ln(y)


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    The left hand side equals e^x * lny, which can be differentiated implicitly using the chain rule. Right hand side would be differentiated normally.
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    Thank you guys!
 
 
 
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