Math, asked by hassaanpasha1213, 4 months ago

tommorow paper calculus integration and differentiation , will pay just help me on​

Answers

Answered by jhpooja7703
0

Answer:

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Step-by-step explanation:

Calculus, a branch of Mathematics, developed by Newton and Leibniz, deals with the study of the rate of change. Calculus Math is generally used in Mathematical models to obtain optimal solutions. It helps us to understand the changes between the values which are related by a function. Calculus Math mainly focused on some important topics such as differentiation, integration, limits, functions, and so on.

Calculus Mathematics is broadly classified into two different such as:

Differential Calculus

Integral Calculus

Both the differential and integral calculus deals with the impact on the function of a slight change in the independent variable as it leads to zero. Both differential and integral calculus serves as a foundation for the higher branch of Mathematics known as “Analysis”. Calculus Mathematics plays a vital role in modern Physics as well as in Science and technology.

Basic Calculus

Basic Calculus is the study of differentiation and integration. Both concepts are based on the idea of limits and functions. Some concepts, like continuity, exponents, are the foundation of advanced calculus. Basic calculus explains about the two different types of calculus called “Differential Calculus” and “Integral Calculus”. Differential Calculus helps to find the rate of change of a quantity, whereas integral calculus helps to find the quantity when the rate of change is known.

Answered by satyam8663
1

Answer:

Calculus, a branch of Mathematics, developed by Newton and Leibniz, deals with the study of the rate of change. Calculus Math is generally used in Mathematical models to obtain optimal solutions. It helps us to understand the changes between the values which are related by a function. Calculus Math mainly focused on some important topics such as differentiation, integration, limits, functions, and so on.

Calculus Mathematics is broadly classified into two different such as:

Differential Calculus

Integral Calculus

Both the differential and integral calculus deals with the impact on the function of a slight change in the independent variable as it leads to zero. Both differential and integral calculus serves as a foundation for the higher branch of Mathematics known as “Analysis”. Calculus Mathematics plays a vital role in modern Physics as well as in Science and technology.

Basic Calculus

Basic Calculus is the study of differentiation and integration. Both concepts are based on the idea of limits and functions. Some concepts, like continuity, exponents, are the foundation of advanced calculus. Basic calculus explains about the two different types of calculus called “Differential Calculus” and “Integral Calculus”. Differential Calculus helps to find the rate of change of a quantity, whereas integral calculus helps to find the quantity when the rate of change is known.

Calculus Topics

All Topics in CalculusLimits and ContinuityDifferential CalculusDifferentiation and integrationLimitsDerivativesIntegral CalculusContinuity and DiscontinuityDerivative of a functionIntegrationContinuity and DifferentiabilityQuotient RuleMethods of IntegrationMean Value TheoremChain RuleDefinite IntegralSecond Derivative TestAnti-derivative FormulaIndefinite IntegralApplications of IntegrationIntegration by PartsDerivative of Inverse Trigonometric FunctionVector CalculusCauchy Riemann EquationsIntegrating FactorPartial Differential EquationsExact Differential EquationRiemann IntegralApplication of DerivativesL Hospital RuleSimpson’s RuleTrapezoidal RuleLine IntegralSurface Integral

Calculus Formulas PDF

There are many theorems and formulas in calculus. Some of the important formulas are given in the pdf below.

Download PDF

Differential Calculus Basics

Differential Calculus is concerned with the problems of finding the rate of change of a function with respect to the other variables. To get the optimal solution, derivatives are used to find the maxima and minima values of a function. Differential calculus arises from the study of the limit of a quotient. It deals with variables such as x and y, functions f(x), and the corresponding changes in the variables x and y. The symbol dy and dx are called differentials. The process of finding the derivatives is called differentiation. The derivative of a function is represented by dy/dx or f’ (x). It means that the function is the derivative of y with respect to the variable x. Let us discuss some of the important topics covered in the basic differential calculus.

Limits

The degree of closeness to any value or the approaching term. A limit is normally expressed using the limit formula as-

limx→cf(x)=A

It is read as “the limit of f of x as x approaches c equals A”.

Derivatives

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