Difference between revisions of "Difference quotient"
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:<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> | ||
| + | [[Category:Calculus]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 20:37, October 27, 2007
The Difference quotient is used in Calculus to compute the slope of a secant line through two points on a graph of a function f(x).
- <math>\frac{f(x+\Delta x)-f(x)}{\Delta x}\,\!</math>
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 lines 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>