Explain how the coefficient of in the Maclaurin series changes when the series is…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Explain how the coefficient of

x^{n}

in the Maclaurin series

f(x)=\sum_{k=0}^{\infty} a_k x^k

changes when the series is differentiated once with respect to

x