Open App

SSC CGL Exam > SSC CGL Videos > Quantitative Aptitude for SSC CGL > Chain Rule

Chain Rule Video Lecture | Quantitative Aptitude for SSC CGL

FAQs on Chain Rule Video Lecture - Quantitative Aptitude for SSC CGL

1. What is the chain rule in calculus?

Ans. The chain rule is a rule in calculus that allows us to find the derivative of composite functions. It states that if we have a composite function, such as f(g(x)), then the derivative of f(g(x)) with respect to x is equal to the derivative of f with respect to g multiplied by the derivative of g with respect to x.

2. How do you apply the chain rule in practice?

Ans. To apply the chain rule, you need to identify the inner and outer functions in a composite function. Then, take the derivative of the outer function with respect to the inner function and multiply it by the derivative of the inner function with respect to the independent variable. Finally, simplify the expression if possible.

3. Can you explain the concept of chain rule with an example?

Ans. Certainly! Let's say we have the function f(x) = (2x + 1)^3. To find the derivative of f(x), we can consider it as the composition of the inner function g(x) = 2x + 1 and the outer function h(x) = x^3. Applying the chain rule, we first find the derivative of h(x) with respect to g(x), which is 3(g(x))^2. Then, we find the derivative of g(x) with respect to x, which is 2. Finally, we multiply these derivatives together: 3(2x + 1)^2 * 2 = 6(2x + 1)^2.

4. What happens if you don't use the chain rule while differentiating a composite function?

Ans. If you don't use the chain rule while differentiating a composite function, you will end up with an incorrect result. The chain rule is essential in correctly determining the rate of change of a composite function because it takes into account the relationship between the inner and outer functions.

5. Is the chain rule applicable to all composite functions?

Ans. Yes, the chain rule can be applied to all composite functions, regardless of their complexity. It is a fundamental rule in calculus that enables us to find the derivative of composite functions and is widely used in various fields such as physics, engineering, and economics.

About this Video

1K Views

4.63/5 Rating

Oct 04, 2025 Last updated

Related Exams

SSC CGL Quant

Video Description: Chain Rule for SSC CGL 2025 is part of Quantitative Aptitude for SSC CGL preparation. The notes and questions for Chain Rule have been prepared according to the SSC CGL exam syllabus. Information about Chain Rule covers all important topics for SSC CGL 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Chain Rule.

Introduction of Chain Rule in English is available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & Chain Rule in Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics related with notes, lectures and mock test series for SSC CGL Exam by signing up for free.

Description

Video Lecture & Questions for Chain Rule Video Lecture | Quantitative Aptitude for SSC CGL - SSC CGL full syllabus preparation | Free video for SSC CGL exam to prepare for Quantitative Aptitude for SSC CGL.

Information about Chain Rule

Here you can find the meaning of Chain Rule defined & explained in the simplest way possible. Besides explaining types of Chain Rule theory, EduRev gives you an ample number of questions to practice Chain Rule tests, examples and also practice SSC CGL tests.

	Quantitative Aptitude for SSC CGL 315 videos\|296 docs\|185 tests

Quantitative Aptitude for SSC CGL

315 videos|296 docs|185 tests

Join Course for Free

Explore Courses for SSC CGL exam

Extra Questions

mock tests for examination