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Say if $p(x)=x $ and I want to find $p'(1-x)$ how do i go about it?. I would have thought it was $\frac{d}{d(1-x)}(x)$ but this doesn't give me the right answer.

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1 Answers1

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$$\frac{dP(x)}{dx}=1 \implies \frac{dP(y)}{dy}=1\\ \frac{dP(y)}{dx}\cdot \frac{dx}{dy}=1 \\ \frac{dP(y)}{dx}\cdot -1=1 \implies \frac{dP(1-x)}{dx}=-1$$

Request

@usainlightning ask for $p'(1-x)$, here is the answer $$p'(x)=1\implies p'(1-x)=1=\frac{dP(1-x)}{d(1-x)}$$

Semsem
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