hey- how do i find a power series for f'(x) if

f(x)= sum from n=0 to n=infinity [(-1^n)*x^(2n)]/[(2n)!]

thanks.

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- February 27th 2006, 07:55 PMilovecalculushelp please?
hey- how do i find a power series for f'(x) if

f(x)= sum from n=0 to n=infinity [(-1^n)*x^(2n)]/[(2n)!]

thanks. - February 27th 2006, 08:58 PMCaptainBlackQuote:

Originally Posted by**ilovecalculus**

?

Differentiate term by term (I know this works for this series so I won't worry

about convergence).

,

so:

,

Simplifying slightly:

.

RonL