Introduction :In this solution, we explain how to find derivative of a power series. Question: Find derivative of a power series \[P^\prime\left(x\right)=1-2\frac{\left(x+2\right)}{6}+\frac{3\left(x+2\right)^2}{27}-\frac{4\left(x+2\right)^3}{108}+\ldots\ldots\] Solution : We have given power series expansion of a function \[P^\prime\left(x\right)=1-2\frac{\left(x+2\right)}{6}+\frac{3\left(x+2\right)^2}{27}-\frac{4\left(x+2\right)^3}{108}+\ldots\ldots\] Differentiating this term by term, we…
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