Mark M. answered 09/23/18
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Retired math prof. Very extensive Precalculus tutoring experience.
Since f(x) = 6, f(x) = 6 for any value of x.
So, f(a+h) = 6 and f(a) = 6
Therefore, [f(a+h) - f(a)] / h = (6-6) / h = 0