Assume that $X=C^1([0,1],||\cdot||_{\infty})$ and let $f:X\rightarrow\mathbb{R}$ be given by $f(g)=\int_0^1tg^2(t)dt$. What is the differential $Df$?
2026-03-31 18:43:54.1774982634
Differential of an operator on a function space
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