Differentiation and Integration | CA Foundation Maths Chapter 8 | ICAI Exams | Chandan Poddar

In This Video We Will Discuss the Differentiation and Integration of all Concepts, Problems and Examples for the CA Foundation and CA Foundation Business Mathematics Chapter no 8 Complete Discussion and Important Questions With Solutions have been Discussed By Chandan Poddar Sir For CA Foundation Grooming Education.

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Topic Covered:
Differentiation basic concepts
Differentiation Product Rule
Differentiation Quotient Rule
Important properties of Differentiation
Integration basic concepts i
Integration basic concepts ii
Application of cost functions i
Application of cost functions ii
Application of cost minimisation function
Application of cost minimisation function and slope
Practical question on cost minimisation function
Application of revenue function
Practical questions on revenue function
Method of partial fraction

Time Stamp:
0:00 Intro
0:16 Differentiation and Integration
1:23 Differentiation
4:00 Basic Rules of Differentiation
11:19 Chain Rule Differentiation
17:44 Product Rule
23:33 Quotient Rule
42:15 Chain Rule Integration
44:09 First Application (Related From Cost Functions)
1:11:15 Questions

What is Differentiation?
Differentiation is the essence of Calculus. A derivative is defined as the instantaneous rate of change in function based on one of its variables. It is similar to finding the slope of a tangent to the function at a point.

Integration is a method to find definite and indefinite integrals. The integration of a function f(x) is given by F(x)

Differentiation and Integration, both operations involve limits for their determination.
Both differentiation and integration, as discussed are inverse processes of each other.
The derivative of any function is unique but on the other hand, the integral of every function is not unique. Two integrals of the same function may differ by a constant.
Upon differentiating a polynomial function the degree of the result is 1 less than the degree of the polynomial function whereas in case of integration the result obtained has a degree which is 1 greater than the degree of the polynomial function.
While dealing with derivatives we can consider derivative at a point whereas, in the integrals, integral of a function over an interval is considered.
Geometrically, the derivative of a function describes the rate of change of a quantity with respect to another quantity while indefinite integral represents the family of curves positioned parallel to each other having parallel tangents at the intersection point of every curve of the family with the lines orthogonal to the axis representing the variable of integration.

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