Calculus is a branch of mathematics that focuses on rates of change, accumulation, and other concepts involving variables. It has wide applications in various fields, such as physics, engineering, economics, and more.
Basic Concepts
- Limit: The concept of a limit helps us understand the behavior of a function near a particular point.
- Derivative: The derivative gives us the slope of a function at any point, which is a measure of how fast the function is changing.
- Integral: The integral represents the area under a curve or the accumulation of quantities.
Examples
- Derivative of a Function: The derivative of ( f(x) = x^2 ) is ( f'(x) = 2x ).
- Integral of a Function: The integral of ( f(x) = x^2 ) is ( \int x^2 dx = \frac{x^3}{3} + C ).
More Resources
For further reading on calculus, you can explore our Advanced Calculus Tutorial.
Graphical Representation
Graphical Representation of Calculus Functions