Applications of Calculus in Business, Commerce and Economics

Name: Applications of Calculus in Business, Commerce and Economics
Rating: 4.5 (5 reviews)

Learn Importance of Calculus and its Applications in Business Administration , Commerce and Economics

Created bySandeep Kumar Mathur

Last updated 7/2026

English

English [Auto],

What you'll learn

Learn Functions Related to Business ,commerce and economics
Learn Concepts of Average Cost, Marginal Cost, Average Revenue and Marginal Revenue
How to find Maximum Revenue
Learn about Slope of AC Curve
Learn concept of Break Even Analysis
Do the practice sheet problems of your own with confidence

Course content

4 sections • 38 lectures • 2h 43m total length

Basic Concepts-Functions Related to Business ,commerce and economics7:36
Course : Applications of Calculus in Business, Commerce and Economics
Concepts of Average Cost, Marginal Cost, Average Revenue and Marginal Revenue4:37
Course : Applications of Calculus in Business, Commerce and Economics
How to find Maximum Revenue2:12
Course : Applications of Calculus in Business, Commerce and Economics
Slope of AC Curve5:20
Course : Applications of Calculus in Business, Commerce and Economics

Q.no.12:28
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.22:43
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.34:20
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.42:56
Explore calculus-based pricing models by formulating price as a function of quantity x, using quadratic expressions like 330x - x^2 and 380x - x^2 to analyze revenue behavior.
Practice Sheet -12:23
Course : Applications of Calculus in Business, Commerce and Economics
Quiz

Q.no.14:52
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.25:24
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.31:24
Compute that the marginal cost equals five for all output, given the cost function C(x) = 5x + 160 and MC = dC/dx.
Q.no.42:56
Using C(x)=3x^2-6x+5, compute the average cost as C(x)/x and evaluate at x=2 to get 2.5. Marginal cost is the derivative MC=dC/dx=6x-6, which at x=2 equals 6.
Q.no.511:08
Derive the marginal cost from the total cost function using the quotient rule and show that dMC/dx is negative as output increases, indicating a continuously falling marginal cost.
Q.no.62:46
Compute the average variable cost from the total variable cost function, then differentiate the AVC to obtain the slope, which equals 4x - 5.
Q.no.72:20
From the monopolist revenue function R(x)=90x-3x^2, derive AR(x)=R/x=90-3x and MR(x)=R'(x)=90-6x; evaluate AR(3)=81 and MR(3)=72 for a monopolist.
Q.no.82:20
Q.no.94:24
Derive the total cost function C = 1000 + 150x − 15x^2 + x^3, compute AC = C/x and MC = dC/dx, and verify their slope relationships.
Q.no.103:19
The lecture derives average cost and marginal cost from C = A + Bx + c x^2, then computes AC = C/x and MC = dC/dx and compares them.
Q.no.115:23
Apply calculus to find the minimum cost: differentiate C, set dC/dx = 0 to get x = 2, verify with the second derivative, and compute C(2) = 43.
Q.no.127:49
Derive marginal cost, average cost, and marginal average cost from the total cost function c(x) and verify that MAC equals (x·MC − c(x))/x^2.
Q.no.134:12
Using the total cost function c(x)=3−2x+5x^2, calculate ac = c(x)/x and mc = c'(x), and prove that the derivative of ac with respect to x equals (1/x)(mc − ac).
Q.no.142:41
Q.no.154:12
Q.no.168:01
Compute the marginal average cost (MAC) and marginal cost (MC) from c(x)=x+2x^3−3.5x^2, then identify where MC cuts the x- and y-axes (x=1 and x=1/6; y-intercept is 1).
Practice Sheet-23:13
Course : Applications of Calculus in Business, Commerce and Economics
Quiz

Break Even Analysis4:09
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.13:07
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.24:42
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.33:05
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.45:31
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.55:23
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.63:44
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.72:15
Course : Applications of Calculus in Business, Commerce and Economics
Q.no.84:22
Q.no.98:13
Q.no.104:54
Compute the break-even point by setting profit to zero, revealing that 800 units must be produced and sold. Profit is positive for x greater than 800, since 25x minus 20000.
Practice Sheet-32:58
Course : Applications of Calculus in Business, Commerce and Economics
Quiz

Requirements

Elementary math, knowledge of basic calculus and willingness to learn

Description

Calculus has been applied extensively in many area of study as Physics, engineering etc. Here, in this course I am illustrating the application of calculus in Business, commerce and economics.

One of the primary interpretation of derivative is the rate of change concept. We will see in this course that how the rate of change concept can be of use in understanding the Marginal concept of Economics.

This course is useful for both beginners as well as for advanced level. Here, this course covers the following areas :

Functions Related to Business ,commerce and economics
Concepts of Average Cost, Marginal Cost, Average Revenue and Marginal Revenue
Break Even Analysis

The course covers both the in-depth theory as well as examples so that the subject matter is clearly understood by the students. At the end of sections, practicing problems are given to boost confidence of the candidates. I am sure that the course will be create a strong platform for students and those who are pursing for higher Mathematics.

You will also get a good and friendly support in Q&A section . It is also planned that based on your feed back, new material like price elasticity of supply, price elasticity of demand, maxima minima etc. will be added to the course. Hope the course will develop better understanding and boost the self confidence of the students who are doing MBA and other courses of management from different business schools and universities beside charted accountants and practicing cost accountants.

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Who this course is for:

For business management students and professionals
Charted Accountants/Cost Accountants and financial researchers
Professionals of Banking and Insurance sector
Any one who wishes to know the importance and application of calculus in Business , commerce and economics

Applications of Calculus in Business, Commerce and Economics

What you'll learn

Explore related topics

Course content

Application of Calculus for Business, Commerce and Economics4 lectures • 20min

Functions Related to Business and Economics5 lectures • 15min

Average Cost, Marginal Cost, Average Revenue and Marginal Revenue17 lectures • 1hr 16min

Break Even Analysis12 lectures • 52min

Requirements

Description

Who this course is for: