the definition of a derivative is to find the slope of a tangent line.....

the alternate form of the derivative is for???

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- Feb 10th 2010, 03:14 PMmaybnxtseasnalternative form of a derivative?
the definition of a derivative is to find the slope of a tangent line.....

the alternate form of the derivative is for??? - Feb 10th 2010, 03:21 PMskeeter
- Feb 10th 2010, 03:52 PMKeithfert488
$\displaystyle \lim_{x\to c}=\frac{f(x)-f(c)}{x-c}$ is the alternate form of a derivative.

While $\displaystyle \lim_{\Delta x\to 0} \frac{f(x+\Delta x)-f(x)}{\Delta x}$ is the definition of derivative.

The alternate form will give you the value of the derivative at x=c

So really the definition of a derivative $\displaystyle {f}'(x)$ really maps all of the alternate definitions of a derivative at all x values in the domain of f(x)