Given
$\left< f,g \right> =\int _{ 0 }^{ 1 }{ f'(t)g(t)dt } \quad in\quad C\left[ 0,1 \right] $
How can I prove if this is (or not) an inner product on the given vector space?
2026-04-09 10:55:10.1775732110
How can I prove if this is an inner product?
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Hint Consider a nonzero constant function $f$ and compute $\langle f,f\rangle$.