This one involves differentiation and integration of a power series.(adsbygoogle = window.adsbygoogle || []).push({});

I need to find the first derivative, second derivative, and integral of this.

[tex]f(x)=\sum(\frac{x}{2})^n[/tex]

if [tex]\frac{d}{dx}f(x)=\sum na_n(x-c)^{n-1}[/tex]

I guess I'm having problems figuring out what [tex]a_n[/tex] is.

Shouldn't it be 2^n and give

[tex]\sum\frac{n}{2^n}(x)^n[/tex] I know this is wrong, how is the book getting

[tex]\sum(\frac{n}{2})(\frac{x^n}{2})[/tex]

I think if I can just figure out how to find [tex]a_n[/tex] I'll be all set, I hope

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# Homework Help: Another power series problem

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