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Math Help - Gradient Vector

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    Gradient Vector

    Find the gradient vector of f(x) = e^ { ||x||^2} for x \in \mathbb {R} ^n

    I'm not sure if I understand how to take derivative of the norm of x.

    Thanks.
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    Find the gradient vector of f(x) = e^ { ||x||^2} for x \in \mathbb {R} ^n

    I'm not sure if I understand how to take derivative of the norm of x.

    Thanks.
    Maybe this will help

    ||x||^2=x_1^2+x_2^2+...+x_n^2

    \frac{\partial f}{\partial x_i}=2x_ie^{||x||^2}

    so we get

    \nabla f =2e^{||x||^2}(x_1,x_2,x_3,...,x_n)
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