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Math Help - alternative form of a derivative?

  1. #1
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    alternative 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???
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  2. #2
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    Quote Originally Posted by maybnxtseasn View Post
    the definition of a derivative is to find the slope of a tangent line.....
    the alternate form of the derivative is for???
    the slope of a tangent line at a specific point.
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  3. #3
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    \lim_{x\to c}=\frac{f(x)-f(c)}{x-c} is the alternate form of a derivative.

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