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====== Series Derivative ======

===== Prompt =====

** "Write the first 5 terms of y''(x)." **

where y''(x) is the second derivative of y(x) expanded as a series solution.

===== Context =====

This [[strategy:smallwhiteboard:|SWBQ]] helps students to see what happens to a power series when derivatives are taken as a lead-in to reindexing a sum.

===== Wrap Up =====

After the terms have been written, discuss how the terms can be reindexed so that the sum has the same powers of x<sup>n</sup> as other sums in the differential equation.

{{swbq>vcswyyzzz.ppt|Powerpoint slide}}
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{{swbq>vcswyyzzz.pdf|PDF slide}}

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