Introduction to online calculus notes:
Calculus is an important part in mathematics focused on limits, functions, derivatives integrals and infinite series. This subject constitutes a major section of modern mathematics education. It has two major branches,
Differential calculus
Integral calculus
Both differential and integral calculus are associated to the fundamental theorem of calculus.
Please express your views of this topic Quotient Rule Calculus by commenting on blog.
Online calculus notes:
Here are the online notes for calculus which is available to everyone who wants to learn calculus from online notes.
This online note provides lot of examples to learn online calculus.
This notes will help the students who cant get clear idea in calculus class.
The material covered in this notes are derivatives, application of derivatives, integrals and application of integrals.
Derivatives and integrals are described below with its applications to show how online notes helpful to you.
Derivatives and its applications:
In derivatives, we will study the changes in the values of y corresponding to small changes in the values of x where y and x are related to each other by the equation y = f(x).
Application of derivatives:
Rate of change of quantities
Errors and approximation
Rolle's and Lagrange's theorem
Maxima and minima functions
Increasing function and decreasing functions
Tangents and normal
Optimization
Graph shape
Example problem:
Find the derivative of the function y = 7x^3 + 2x^2 + 6.
Solution:
Step 1: Given function
y = 7x^3 + 2x^2 + 6
Step 2: Differentiate the given function y = 7x^3 + 2x^2 + 6 with respect to ' x ', to get `(dy)/dx`
`(dy)/dx` = 21x^2 + 4x
I have recently faced lot of problem while learning Operations with Rational Numbers, But thank to online resources of math which helped me to learn myself easily on net.
Integrals and its application:
Integration is the reverse process of that of differentiation and the process of finding derivative of the given function is called differentiation whereas finding the function whose derivative is known is called integration. This function is known as integral of the given function.
Application of integrals:
To find area under simple curves
To find areas of circles
To find areas of parabolas
To find areas of ellipses
To find area between the curves
Average function value
Volumes of solids of revolution
Example problem:
Find the integration of the function, f(x) = 7x + 2.
Solution:
Step 1: Given function
f(x) =7x + 2
`int` f(x) dx = `int` 7x + 2 dx
Step 2:Separate the integral function
`int` 7x + 2 dx= `int` 7x dx + `int` 2 dx
Step 3: Integrate each function with respect to ' x',
`int` 7x + 2 = `(7x^2)/2` + 2x + C
Calculus is an important part in mathematics focused on limits, functions, derivatives integrals and infinite series. This subject constitutes a major section of modern mathematics education. It has two major branches,
Differential calculus
Integral calculus
Both differential and integral calculus are associated to the fundamental theorem of calculus.
Please express your views of this topic Quotient Rule Calculus by commenting on blog.
Online calculus notes:
Here are the online notes for calculus which is available to everyone who wants to learn calculus from online notes.
This online note provides lot of examples to learn online calculus.
This notes will help the students who cant get clear idea in calculus class.
The material covered in this notes are derivatives, application of derivatives, integrals and application of integrals.
Derivatives and integrals are described below with its applications to show how online notes helpful to you.
Derivatives and its applications:
In derivatives, we will study the changes in the values of y corresponding to small changes in the values of x where y and x are related to each other by the equation y = f(x).
Application of derivatives:
Rate of change of quantities
Errors and approximation
Rolle's and Lagrange's theorem
Maxima and minima functions
Increasing function and decreasing functions
Tangents and normal
Optimization
Graph shape
Example problem:
Find the derivative of the function y = 7x^3 + 2x^2 + 6.
Solution:
Step 1: Given function
y = 7x^3 + 2x^2 + 6
Step 2: Differentiate the given function y = 7x^3 + 2x^2 + 6 with respect to ' x ', to get `(dy)/dx`
`(dy)/dx` = 21x^2 + 4x
I have recently faced lot of problem while learning Operations with Rational Numbers, But thank to online resources of math which helped me to learn myself easily on net.
Integrals and its application:
Integration is the reverse process of that of differentiation and the process of finding derivative of the given function is called differentiation whereas finding the function whose derivative is known is called integration. This function is known as integral of the given function.
Application of integrals:
To find area under simple curves
To find areas of circles
To find areas of parabolas
To find areas of ellipses
To find area between the curves
Average function value
Volumes of solids of revolution
Example problem:
Find the integration of the function, f(x) = 7x + 2.
Solution:
Step 1: Given function
f(x) =7x + 2
`int` f(x) dx = `int` 7x + 2 dx
Step 2:Separate the integral function
`int` 7x + 2 dx= `int` 7x dx + `int` 2 dx
Step 3: Integrate each function with respect to ' x',
`int` 7x + 2 = `(7x^2)/2` + 2x + C
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