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Difference quotient (view source)
Revision as of 21:15, September 8, 2020
, 21:15, September 8, 2020new link
==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 (calculus)|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>
:<math>f'(x)=\lim _{\Delta x \to 0} \frac{f(x+\Delta x)-f(x)}{\Delta x}\,\!</math>