B Com Exam  >  B Com Notes  >  Business Mathematics and Statistics  >  PPT - Differentiation

PPT - Differentiation | Business Mathematics and Statistics - B Com PDF Download

Download, print and study this document offline
124 videos|176 docs

FAQs on PPT - Differentiation - Business Mathematics and Statistics - B Com

1. What is differentiation in mathematics?
Ans. Differentiation in mathematics is a fundamental concept that involves finding the rate at which a function changes. It is used to calculate the slope or gradient of a curve at any given point, providing information about the function's behavior and the relationship between its variables.
2. How is differentiation used in real-life applications?
Ans. Differentiation has various real-life applications. For example, it is used in physics to calculate velocities and accelerations, in economics to determine marginal costs and revenues, in biology to study population growth rates, and in engineering to optimize designs and analyze systems' behavior.
3. What are the basic rules of differentiation?
Ans. The basic rules of differentiation include the power rule, product rule, quotient rule, and chain rule. The power rule states that the derivative of x^n (where n is a constant) is nx^(n-1). The product rule is used to differentiate the product of two functions, while the quotient rule is used for differentiating the quotient of two functions. The chain rule is applied when differentiating composite functions.
4. How can differentiation be used to find maximum and minimum points of a function?
Ans. Differentiation is used to find maximum and minimum points of a function by analyzing its critical points. Critical points occur where the derivative of the function is either zero or undefined. By setting the derivative equal to zero and solving for the variable, we can identify potential maximum and minimum points. Further analysis, such as the second derivative test, can help determine whether these points are maximum or minimum.
5. Can differentiation be used to find the area under a curve?
Ans. No, differentiation cannot be directly used to find the area under a curve. Differentiation focuses on finding the rate of change of a function. However, integration, which is the reverse process of differentiation, can be used to find the area under a curve. Integration involves summing up infinitely small areas under the curve and is commonly used in calculus to solve problems related to areas, volumes, and accumulation.
Related Searches

PPT - Differentiation | Business Mathematics and Statistics - B Com

,

Extra Questions

,

Free

,

shortcuts and tricks

,

mock tests for examination

,

Summary

,

study material

,

PPT - Differentiation | Business Mathematics and Statistics - B Com

,

PPT - Differentiation | Business Mathematics and Statistics - B Com

,

MCQs

,

Previous Year Questions with Solutions

,

Viva Questions

,

Sample Paper

,

Objective type Questions

,

pdf

,

video lectures

,

Exam

,

past year papers

,

Semester Notes

,

ppt

,

Important questions

,

practice quizzes

;