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Why the derivative of the area of a circle is its perimeter?
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- 8 years agoFavorite Answer
The derivative of the area of a circle with respect to its radius represents the rate of change of the circle's area, as the radius changes.
Now, if you picture a circle and imagine that its radius increases infinitesimally, it becomes intuitively obvious why the derivative must in fact be the circle's circumference.
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