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# 高等微積分有關偏微分!幫幫忙謝謝

Suppose that the function f:R^n ->R is continuously differentiable.Let x be a point in R^n. For p a nonzero point in R^n and α a nonzero

real number. show that δf/[δ(αP)] (x) = α[δf/δP](x)

Update:

I can't understand

please give the answer

thank you

### 1 Answer

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- 1 decade agoFavorite Answer
This can be done by chain rule

please check the webpage

http://www.ricciflow.com/moogle/mod/forum/discuss....

let $$u=ap$$ and $$f=f(u)$$ at u=x

then $$\frac{\partial f}{\partial p}(x)=\frac{\partial f}{\partial u}(x)\cdot \frac{\partial u}{\partial p}=a\frac{\partial f}{\partial ap}(x)$$

I wonder if your question is correctly stated...

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