A new Method of Differentiation (PURE ALGEBRA), what do you think?

riyadh144
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I have discovered this new method. It is a little harder mechanics than normal Calculus, but it is still a new method which I searched that Internet and many other mathematics textbooks for it but I did find nothing. I want to contact a math Proff about this, I have tried to Contact Two Stanford Proffs and One Mit Proff, but they didn't answer. That is an Example to find the derivative of a third degree polynomial. http://imgur.com/8ScTv
 
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interesting :D
you'd expect it to give the slope because differentiating polynomials reduces the power
thanks
 
cocopops12 said:
interesting :D
you'd expect it to give the slope because differentiating polynomials reduces the power
thanks

It is a little bit more math than this but simply true
 
So... what is the benefit of this over using the power rule? Is there some theoretical underpinning which is not mentioned?
 
It looks like a back-to-front way of creating a Taylor series for the polynomial and then taking the derivative from that.

But it's a lot more work than the "standard" method IMO.
 

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