I have been studying calculus for only a few days now since I picked up a book on it, trying to get ahead for next year and it's really starting to sink in now and I decided to write down a different way for calculating the derivative, it isn't revolutionary, i am just wondering if it will be accepted by most people or if they prefer the traditional way. Its exactly the same as the traditional difference quotient but I switched it around cuz it made more sense this way to me.

[tex]

f\prime(x)=\[ \lim_{x_{1} \to x_{2}} \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}

[/tex]

[tex]

f\prime(x)=\[ \lim_{x_{1} \to x_{2}} \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}

[/tex]

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