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?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Does differentiation preserve linear independence?

**Physics Forums | Science Articles, Homework Help, Discussion**