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December 18th, 2012, 01:33 PM  #1 
Newbie Joined: Dec 2010 Posts: 17 Thanks: 0  Geometrical interpretation of a derivative
If want to understand geometrical sense of a derivative, consider for a start such example: 1. The area of a circle is radius function: . 2. The length of a circle is radius function: . 3. These two functions of the same argument are connected with each other in a special way, namely, as a derivativeantiderivative. 4. The radius differential  is distance between the next points,  an elementary piece  the smallest radius what only can be:. 5. Increase of length of a circle on radius differential  is differential of the area of a circle  the smallest increment of the area of a circle which only can be: (elementary ringlet). 6. The area of a circle is the sum of all elementary ringlets, beginning from the center of a circle and to its any value, for example R: [math]\displaystyle \int\limits_0^R l(r)dr[/latex] 

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