Differential calculus is a branch of mathematics that deals with the study of rates of change of mathematical functions. It involves the calculation of derivatives, which represent the instantaneous rate of change of a function at a specific point.
Differential calculus has various applications in fields such as physics, engineering, economics, and statistics. It is used to model and analyze real-world phenomena, such as motion, growth, and optimization problems.
Differential calculus focuses on the calculation of derivatives, while integral calculus deals with the calculation of integrals. Derivatives represent the instantaneous rate of change, while integrals represent the accumulation of a function over an interval. These two branches of calculus are closely related and are used together in many applications.
The basic rules of differential calculus include the power rule, product rule, quotient rule, and chain rule. These rules are used to calculate the derivatives of different types of functions, such as polynomials, exponential, and trigonometric functions.
To improve your understanding of differential calculus, it is important to practice solving problems and working through applications. You can also seek out additional resources, such as textbooks, online courses, and tutors, to deepen your understanding of the concepts and techniques involved in differential calculus.