Question: Prove the sum rule for derivatives. Note that the difference quotient for f + g can be written as (f+ g)(x + h) (f +

Prove the sum rule for derivatives. Note that the difference quotient for f + g can be written as


(f+ g)(x + h) (f + g)(x) h = [f(x + h)

(f+ g)(x + h) (f + g)(x) h = [f(x + h) + g(x + h)] - [f(x) + g(x)] h

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