Can someone please explain the question marked extrapolation in the following image?
2026-03-29 14:18:53.1774793933
Explaining a proof of Euler's theorem
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The expression after the question mark comes from differentiating $\lambda^n f(q)$ with respect to $\lambda$. Everything before the question mark came from differentiating $f(\lambda\,q)$ using the chain rule. The assumption of homogeneity makes the two equal, and setting $\lambda=1$ yields the desired identity.