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April 11, 2024
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NCERT Solutions for Class 12 Maths Exercise 5.4 Continuity and Differentiability
NCERT Solutions for Class 12 Maths Exercise 5.4 Continuity and Differentiability: Embibe has all the answers to the exercises related to the concepts covered in ‘Continuity and Differentiability’. Logarithmic differentiation is a technique for calculating the derivatives of complex functions that employ logarithms. Hence, a student in the 12th grade needs to go through this Class 12 Maths Chapter 5 Exercise 5.4 thoroughly to understand the sub-topics covered in this chapter.
As Continuity and Differentiability is one of the most vital topics in Class 12th, Embibe is here to help all the students ace the exams. Embibe offers more than 300 practice questions from 15 books to assist students in understanding the basics of Logarithmic Differentiation. Once students solve Embibe’s practice questions, they will also thoroughly understand the concepts. Experienced academic professionals at Embibe curate the practice questions included in Exercise 5.4 Class 12 Maths. Visit Embibe to learn more.
NCERT Solutions for Class 12 Maths Exercise 5.4: Important Topics
Logarithmic differentiation is preferred over simple differentiation in many areas of Physics and Mathematics, including error correction and the solution of very complex functions. NCERT Exercise 5.4 Class 12 Maths Solutions by Embibe are extremely valuable for the students who prepare to appear for their CBSE 12th board exams. Each answer is explained step-by-step to help the students understand even the complex concepts in a simple way.
Embibe explainer’s logical explanations provide students with an overview of the topic interactively, making learning fun for students. Embibe’s 3D videos help students understand the basics of the chapter without any last-minute confusion. All of Embibe’s videos, explainers, and NCERT solutions books are available for to the students. Below are some of the important topics explained by Embibe for exercise 5.4:
| S. No. | Topics |
|---|---|
| 1 | Derivatives of Exponential and Logarithmic Functions |
| 2 | Derivative Using Logarithms |
NCERT Solutions for Class 12 Maths Exercise 5.4: Points to Remember
Below we have provided some of the important points that students must remember regarding the exercise to score higher marks in the exam:
- The logarithmic differentiation method has properties and rules that, when applied, simplify the calculation. Because applying the quotient rule and the product is not practical in very complex functions, logarithmic differentiation is a better choice at this point.
- Logarithmic Differentiation Solving Method
- First, compute the natural log on both sides of the given equation.
- Use different log properties to break the function down and make it easier to solve.
- Apply rules to differentiate the function, such as the chain rule.
- Multiply the RHS by the Function, which was in the denominator of the LHS.
- Continuity of a function – It is defined as a function’s property that causes its graphical representation to be a continuous wave.
- Continuity in an interval – “A function y = f(x) is considered continuous in an interval (a, b), where a < b if and only if f(x) is continuous at every point in that interval.”
- Differentiation is defined as the process of finding a derivative of a function.
NCERT Solutions for Class 12 Maths: All Chapters
Students can go through the description of each chapter to get an overview of the contents of the chapters:
- 1st Chapter – Relations and Functions
- 2nd Chapter – Inverse Trigonometric Functions
- 3rd Chapter – Matrices
- 4th Chapter – Determinants
- 5th Chapter – Continuity and Differentiability
- 6th Chapter – Application of Derivatives
- 7th Chapter – Integrals
- 8th Chapter – Application of Integrals
- 9th Chapter – Differential Equations
- 10th Chapter – Vector Algebra
- 11th Chapter – Three Dimensional Geometry
- 12th Chapter – Linear Programming
- 13th Chapter – Probability
FAQs on NCERT Solutions for Class 12 Maths Exercise 5.4
Q.1: Where can I get the NCERT Exercise 5.4 Class 12 Maths Solutions from?
Ans: Students can get the NCERT solutions for all exercises from Class 12 Maths on Embibe’s learning platform.
Q.2: How many practice questions are there for exercise 5.4 Class 12 Maths?
Ans: Embibe has 339 practice questions from 15 books to help students ace the board exams.
Q.3: How many interactive videos are available on Embibe for exercise 5.4 Class 12 Maths?
Ans: There are four practice videos available on Embibe for Logarithmic Differentiation.
Q.4: Which app can best assist me in my CBSE Class 12 board exam journey?
Ans. Embibe is one of the most reliable apps to help students achieve the desired results. One of the reasons for this is that the app provides explanations of concepts and syllabus and offers the original NCERT solutions for the textbook exercises.
Q.5: Can I access Embibe’s platform for?
Ans: All of Embibe’s content is available for to the students. Just sign up and use the learning platform for.
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