SOLUTION: f(x)= f(x + delta(x)) - f(x)/ delta(x) how was this function derived?

Question 168018: f(x)= f(x + delta(x)) - f(x)/ delta(x) how was this function derived?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)= f(x + delta(x)) - f(x)/ delta(x) how was this function derived?
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Look at m(x) = [f(x+delta(x)) - f(x)] / delta(x)
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This is a slope form where the numerator is a change in y and
the denominator is a corresponding change in x.
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It would be the slope of a line between the two points,
(0,f(x)) and (delta(x),f(x+delta(x))
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The form leads to a definition of "the limit of a function" as
delta(x) approaches zero.
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Cheers,
Stan H.

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