Application of calculus in business

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Application of calculus in business

Index

Definition of calculus

Types of calculus

Topics related 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)dxb

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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0011 0010 1010 1101 0001 0100 1011For 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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0011 0010 1010 1101 0001 0100 1011For 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

to all…