Which expression gives the th derivative of a function at in terms of the coefficient…

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which expression gives the nnth derivative of a function ff at x=ax=a in terms of the coefficient cnc_n of (x−a)n(x-a)^n in its Taylor polynomial centered at x=ax=a? (a) (n−1)! cn(n-1)!\,c_n (b) cnn!\dfrac{c_n}{n!} (c) n! cnn!\,c_n (d) cnc_n

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