Integrate & differentiate power series

Problem

f(x)=n=0(1)nx2n+3(2n+1)!\displaystyle f(x)=\sum\limits_{n=0}^{\infty }{{{\left( -1 \right)}^{n}}\frac{{{x}^{2n+3}}}{\left( 2n+1 \right)!}}
Find the power series of f, start superscript, prime, prime, end superscript, left parenthesis, x, right parenthesis.
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