Derivatives and Integrals via Taylor Series v2

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This video shows how to use Taylor series to find derivatives, integrals, approximate defiinite integrals, and solve differential equations.
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But we get power series of a function by differentiating that function ....
So if we know power series of a function, we obviously know the derivative of that function .
So in this sense finding derivative using it's power series seems pointless ?

darkseid