This document discusses the application of calculus in business. It defines calculus and outlines the key topics of differential and integral calculus. It then provides examples of how calculus can be used in business contexts like measuring rates of change, revenue, profit, and slopes. Specific applications include identifying demand, consumer and producer surplus, and using integrals to calculate total profit from revenue. The presentation aims to explain the basic concepts of calculus and how both differential and integral calculus can be applied to solve practical business problems.

1. Presentation On…
Application of calculus in
business

3. Index
Definition of calculus
Types of calculus
Topicsrelated to calculus
Application of calculus in business
Summary

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Calculus is a branch of mathematics focused on
limits, functions, derivatives, integrals, and infinite
series. This subject constitutes a major part of
modern mathematics education.

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0011 0010 1010 1101 0001 0100 1011Differential calculus is the study of the definitions,
properties, and applications of the derivative of a
function. The process of finding the derivative is
called differentiation.

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The slope is (in the simplest of terms) the measurement of a
line, and is defined as the ratio of the "rise" divided by the
"run" between two points on a line.

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First derivative
If the function is y= f(x) then the first derivative of this
function will be –
Second derivative
Second derivative is the derivative of the first derivative.

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Integral calculus is the study of the definitions, properties, and
applications of two related concepts, the indefinite integral
and the definite integral. The process of finding the value
of an integral is called integration.
∫ f(x)dx
b
a

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0011 0010 1010 1101 0001 0100 1011The indefinite integral
The indefinite integral is the anti-derivative of the inverse operation to
the derivative.
The definite integral
The definite integral inputs a function and outputs a number, which gives
the area between the graph of the input and the x-axis.

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Rates of
Change
Minimum and
Maximum
Values
Slope of a
road or
railway
Measuring
profit
Measuring
revenue
Marginal
revenue
Marginal
profit

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0011 0010 1010 1101 0001 0100 1011It is often useful to express the rate of change of a
quantity as a percent.
Examples include the rate of population growth, the
rate of increase of the value of an investment, and
the rate of inflation, the value of stock.

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In calculus for identifying minimum & maximum values we
first identify first derivative. Setting it zero we get the
quantity. Putting the value of quantity in the second
derivative if it becomes less than zero ,it is maximum but
when it becomes more than zero, it is minimum.

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0011 0010 1010 1101 0001 0100 1011For measuring revenue in various business
organizations we use the formula-
“x” indicates the number of units

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For measuring profit in various business organizations
we use the formula-
“x” indicates the number of units

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For measuring marginal revenue in various business
organizations we use the formula-

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For measuring marginal profit in various business
organizations we use the formula-

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For identifying the slope of a road or railway in
different construction sites, we have to calculate the
slope. The formula is-

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Identifying demand for a commodity
Identifying consumer surplus & producer surplus

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Common formula for Integral calculus for
application in business-
∫D(x)dx-P0X0
X0
0

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0011 0010 1010 1101 0001 0100 1011The whole presentation discusses-
The simple concept of calculus
Mathematical ideas of different calculus
Application in practical business field for both
differential & integral calculus

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