Question

How does Calculus work?

Answer 1

http://en.wikipedia.org/wiki/Calculus#Principles

Answer 2

thoroughly that Calculus made our life easier... its applications in different problems that can be numerically interpreted....

Answer 3

Basically, there are two operations in calculus which are almost inverses of each other. One it differentiation and the other is integration (L, below).

\[ {\Large \left. \begin{matrix} x^2 + 5 \cr x^2 + 3 \cr x^2 - 17 \cr x^2 + \sqrt 2 \end{matrix} \right\} \Rightarrow {\Large \boxed{\;\operatorname{D}\;}} \Rightarrow 2x \Rightarrow {\Large \boxed{\;\operatorname{L}\;}} \Rightarrow x^2 + C }\]

\[ {\Large 2x \Rightarrow {\Large \boxed{\;\operatorname{L}\;}} \Rightarrow x^2+C \Rightarrow {\Large \boxed{\;\operatorname{D}\;}} \Rightarrow 2x } \]

There are many implications of these operations, including a revised view of almost all the math that came before and applications not obtainable any other way.