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Math Help - Manyfolds problem

  1. #1
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    Exclamation Manyfolds problem

    A function is homogeneous of degree if for all and . If is also differentiable, show that



    I cant do it

    Help pleaseĦĦ
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  2. #2
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    Quote Originally Posted by osodud View Post
    A function is homogeneous of degree if for all and . If is also differentiable, show that



    I cant do it

    Help pleaseĦĦ
    Differentiate the equation f(tx_1,tx_2,\ldots,tx_n) = t^mf(x) partially with respect to t (keeping x_1,x_2,\ldots,x_n constant and using the chain rule), then put t=1.
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