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Suppose I have the following relation: $\mathbf{v}=t|\mathbf{k}|^{t-2}\mathbf{k}$ where $\mathbf{v}$ and $\mathbf{k}$ are $d-$dimensional vectors and $t\in\mathbb{R}$.

I want to express $\nabla_{\mathbf{v}}$ in terms of $\nabla_{\mathbf{k}}$. Is it possible? What is the expression?

I think it should just be $\nabla_{\mathbf{v}} = \frac{1}{t|\mathbf{k}|^{t-2}}\nabla_{\mathbf{k}}$ but that is possibly not correct.

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    $\begingroup$ By the way, you should add what you've tried to the content to make it clear that :1.you aren't doing a homework question, 2. you've tried it at least once and is still stuck in some place there. $\endgroup$
    – Spectre
    Jul 24, 2020 at 5:23
  • $\begingroup$ Plus, I am a 15 year old and have no idea how to solve your problem. $\endgroup$
    – Spectre
    Jul 24, 2020 at 5:25
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    $\begingroup$ I have added that $\endgroup$
    – Indeterminate
    Jul 25, 2020 at 4:11
  • $\begingroup$ Good then - but I don't get to see it. Is it occurring towards the end or present in the beginning ? $\endgroup$
    – Spectre
    Jul 25, 2020 at 4:32
  • $\begingroup$ At the end, I have added what I think is correct $\endgroup$
    – Indeterminate
    Jul 25, 2020 at 18:29

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