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Identity for Matrix*Vector differentiation w.r.t a vector

  1. Feb 3, 2015 #1
    I have

    J - matrix
    x and y - vector

    d [ J(x) y(x)] / dx

    I can multiply the matrix and vector together and then differentiate but I think for my application it would be better to find an identity like

    {d [ J(x) y(x)] / dx } = J(x) d y(x) / dx + d J (x) / dx y(x)

    I am not sure if this identity is right though?

    Any help appreciated
  2. jcsd
  3. Feb 3, 2015 #2


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    Yes, you can use the product rule just as you did.
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