Introduction to differential calculus from "summary" of Differential Calculus by S Balachandra Rao
The study of differential calculus is fundamental in understanding the behavior of functions and their rates of change. With the concept of limits as its foundation, differential calculus delves into the instantaneous rate of change of a function at a specific point. By analyzing infinitesimally small changes in the function, differential calculus provides a powerful tool for modeling and predicting real-world phenomena.
One of the key components of differential calculus is the concept of derivatives. Derivatives represent the rate of change of a function at a given point and can be interpreted geometrically as the slope of the tangent line to the function at that point. Understanding derivatives allows us to analyze the behavior of functions in a precise and quantitative manner.
Another important concept in differe...
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