Mathematical Analysis

I'll start you off, though, in case you are having trouble starting it. What are f'(x) and f''(x)?

-Dan
 
I'll start you off, though, in case you are having trouble starting it. What are f'(x) and f''(x)?

-Dan
F’(x) and f’’(x) are the derivative of the function
Thanks for your help.
 

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I'll start you off, though, in case you are having trouble starting it. What are f'(x) and f''(x)?

-Dan
I also think you can simplify the summation using some arithmetic and a Maclaurin Series identity.
 
I also think you can simplify the summation using some arithmetic and a Maclaurin Series identity.
Can you calculate f'(x) and f"(x) for the given function?

To start off what is the first derivative of x2n?
 
\(\displaystyle \begin{align*}y &= \sum\limits_{n = 0}^\infty {\frac{{{{( - 1)}^n}{x^{2n}}}}{{{2^{2n}}{{(n!)}^2}}}} \\
y' &= \sum\limits_{n = 0}^\infty {\frac{{{{( - 1)}^n}n{x^{2n - 1}}}}{{{2^{2n - 1}}{{(n!)}^2}}}} \end{align*}\)
 
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