# Expressing one gradient in terms of the other

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.

• 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. Jul 24, 2020 at 5:23
• Plus, I am a 15 year old and have no idea how to solve your problem. Jul 24, 2020 at 5:25
• I have added that Jul 25, 2020 at 4:11
• Good then - but I don't get to see it. Is it occurring towards the end or present in the beginning ? Jul 25, 2020 at 4:32
• At the end, I have added what I think is correct Jul 25, 2020 at 18:29