dimension00 said:
Differential calculus is a branch of mathematics that deals with the study of rates of change of functions. It involves finding the slope of a curve at a specific point and using this information to analyze the behavior of the function.
Successive differentiation involves taking multiple derivatives of a function. The purpose of this is to analyze the higher order rates of change of the function and understand its behavior in more detail.
The derivative of a function is calculated using a specific formula known as the power rule. This rule states that the derivative of a function is equal to the coefficient of the variable multiplied by the variable raised to the power of one less than its original power.
Differential calculus has many applications in various fields such as physics, engineering, economics, and biology. It is used to solve optimization problems, model the behavior of systems, and analyze the rate of change of physical quantities.
While differential calculus deals with finding the slope of a curve at a specific point, integral calculus involves finding the area under a curve. These two branches of calculus are closely related and are often used together to solve complex problems.