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Math Help - A quick easy one

  1. #1
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    A quick easy one

    My brain is a little scrambled, so I'm having trouble solving this simple partial derivative. Tell me step by step how it should be solved. I think I understood this problem last semester and I can't now.

    Find the first partial derivatives of the function.

    27. u = t(e)^w/t

    the e is Euler's e.

    I think you use the product and chain rule
    but there is something in the way.
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  2. #2
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    Quote Originally Posted by Undefdisfigure View Post
    My brain is a little scrambled, so I'm having trouble solving this simple partial derivative. Tell me step by step how it should be solved. I think I understood this problem last semester and I can't now.

    Find the first partial derivatives of the function.

    27. u = t(e)^w/t

    the e is Euler's e.

    I think you use the product and chain rule
    but there is something in the way.
    u(t)=te^{wt^{-1}}

    Follow the product rule and then the chain rule as you said...

    u'(t)=e^{wt^{-1}} - te^{wt^{-1}}wt^{-2}

    u'(t)=e^{wt^{-1}}(1 - \frac{w}{t})
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