If we take the derivative of n functions that are linearly independent to each other and we write it down like c(adsbygoogle = window.adsbygoogle || []).push({}); _{1}f_{1}(x) + c_{2}f_{2}(x) +...+ c_{n}f_{n}(x)=0, then would the linear independence be preserved if we differentiate the equation with respect to x?

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# Does differentiation preserve linear independence?

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