The Derivative of the Sum of a Finite Number of Differentiable Functions.
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Problem:
Assume that we have N differentiable functions f1(x), f2(x), ⋯, and fN(x). Prove that if f(x)=f1(x)+f2(x)+⋯+fN(x) then f′(x)=f′1(x)+f′2(x)+⋯+f′N(x).
Answer: