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Difference quotient (view source)
Revision as of 20:44, September 25, 2007
, 20:44, September 25, 2007mathiness++
:<math>\frac{F(x+\Delta x)-F(x)}{\Delta x}\,\!</math>
:<math>\frac{f(x+\Delta x)-f(x)}{\Delta x}\,\!</math>
==How the Difference quotient differs from the Derivative==
==How the Difference quotient differs from the Derivative==
The difference between the [[difference quotient]] and the [[derivative]] is that the [[derivative]] is the value of the [[difference quotient]] as the [[secant line]]s get closer and closer to the [[tangent line]].
The difference between the [[difference quotient]] and the [[derivative]] is that the [[derivative]] is the value of the [[difference quotient]] as the [[secant line]]s get closer and closer to the [[tangent line]]:
:<math>f'(x)=\lim _{\Delta x \to 0} \frac{f(x+\Delta x)-f(x)}{\Delta x}\,\!</math>
[[Category:Mathematics]]
[[Category:Mathematics]]