Let C[−1,1] be the space of continuous real functions on the interval [−1,1] with the usual supremum norm, and let V be a closed, finite-codimensional subspace of C[−1,1]. Prove that there exists a polynomial p∈V with norm at most one, which satisfies p′(0)>2023. polynomialanalysisFunctional AnalysisMiklos Schweitzerreal analysis