It is the study of the function's differentiation and integration in higher level, and the branch of mathematics relate to concepts and applications.

It is a basic subject of mathematics.

The content mainly includes the limit, differential calculus, integral calculus and its application.

Differential calculus involves the operation of derivatives, which is a set of theories about the rate of change.It allows the function, speed, acceleration, and the slope of the curve to be discussed with a set of universal symbols.

Integral calculus, including integral calculus, provides a common set of methods for defining and calculating area, volume.

The process of Calculus

From the beginning of the 17th century, with the progress of the society and the development of productive forces, and such as navigation, astronomy, mine construction and many other issues to resolve, The change of mathematics also began to generate, mathematical entered the era of "variable mathematics".Throughout the 17th century, dozens of scientists did pioneering work on the creation of calculus, but it was Newton who made calculus an important branch of mathematics.

The steps to solve a derivative problem:

Derivative: The derivative is the local property of the function.The derivative of a function at some point describes the rate at which this function changes at this point.If the function's independent variables and values are real Numbers, the derivative of the function at some point is the slope of the tangent line at this point.The essence of the derivative is the partial linear approximation of the function through the concept of the limit.

Important: Not all functions have derivatives, and a function doesn't have to have a derivative at all points.If a function exists at a certain point, it is said to be guided at this point, otherwise it is called unguided.However, the derivable function must be continuous; The discontinuous function must not be guided.

Problem:f(X)= X^4+3X^3+2X^2+5X+3 What is F'(X). For this type of problem, it is really not that complex, first, you need to take the exponent out and multiply into the front of each x and minus 1 in each exponents. For example, in x^4, you put exponents 4 into the front side of X, which makes it 4X, and then you need to minus 1 from the exponent, so the forth power change into cubic power after we minus 1 from exponent, and we need to do same thing for each x. The answer: 4X^3+9X^2+4X+5, and the constant will always be 0.

Fundamental Theorem of Calculus.

Calculus is based on functions and has a lot of limits. You can think of calculus as a combination of functions and limits.Calculus had started using the function definition and limit.

If the function is continuous on the interval, and there is an original function,

so