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Finding nth derivative of $\frac{1}{x^4+4}$

I am supposed to find the nth order derivative of: $$\frac{1}{x^4+4}$$ I tried to resolve into partial fractions. But it didn't work out for me. Edit- where I am stuck $$\frac{1}{x^4+4}=\frac{1}{(x-1+...
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