NCERT Solutions for Class 12 Maths Chapter 5 – Continuity and Differentiability Exercise 5.2

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Chapter 5 – Continuity and Differentiability Exercise 5.2

1.

Find derivative using chain rule – Exercise 5.2 Q1
Solved derivative using chain rule – Q1 Answer

2.

Differentiate using logarithmic method – NCERT Q2
Logarithmic differentiation applied to simplify – Q2 Answer

3.

Use trigonometric identity in differentiation – Q3 Class 12
Trigonometric function differentiated step-by-step – Q3

4.

Composite function differentiation – Exercise 5.2 Q4
Step-by-step solution using chain rule – Q4
Class-12 Continuity-and-Differentiability Exercise-5.2 Question 4 Solution - NCERT Answer

5.

Logarithmic differentiation involving product rule – Q5
Applied product rule with logarithmic differentiation – Q5 Step-1
Simplified expression and final derivative – Q5 step-2

6.

Apply chain and product rule –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q6 CBSE
Applied chain and product rule in differentiation – Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q6 Answer

7.

Differentiate using exponential function – Q7-Continuity and Differentiability Class 12 NCERT Exercise 5.2
Exponential derivative with simplification –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q7 NCERT Answer

8.

Differentiation with multiple rules applied –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q8 Class 12
Complex function broken down into parts –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q8 Step-1
Class-12 Continuity-and-Differentiability Exercise-5.2 Question 8 Solution - NCERT Answer

9.

Use inverse trigonometric identity in differentiation –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q9
Inverse function differentiation with steps – Q9 Answer

10.

Higher order derivative of composite function –Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q10 NCERT
Higher order differentiation begun – Continuity and Differentiability Class 12 NCERT Exercise 5.2 Q10 Part 1
Completed second order derivative – Q10 Final Answer

Download Exercise 5.2 NCERT Solutions PDF

You can download the PDF from the link below for offline study

Class 12 Maths Chapter 5 – Continuity And Differentiability: All Exercises

ExerciseLink
Exercise 5.1View Solutions
Exercise 5.3View Solutions
Exercise 5.4View Solutions
Exercise 5.5View Solutions
Exercise 5.6View Solutions
Exercise 5.7View Solutions
Miscellaneous Exercise View Solutions

Class 12 Continuity And Differentiability- Exercise 5.2 Overview

Examining one of the most important ideas of calculus—differentiability—continuity and differentiability Class 12 NCERT Solutions Exercise 5.2 Once you grasp continuity in the last exercise, this section focuses on how smoothly functions behave and how derivatives help you analyse their nature. Especially helpful for board examinations and entrance tests like JEE, the challenges are meant to develop your logical flow of thought and reinforce your basis in mathematics.

This task mostly addresses evaluating differentiability at a point, verifying if functions are differentiable over intervals, and connecting it with continuity. Additionally you will investigate left- and right-hand derivatives to help you identify when a function might break or behave sharply. Practicing Continuity and Differentiability Class 12 NCERT Solutions Ex 5.2 questions helps you learn derivatives.

This activity is fantastic since it links with practical applications where smooth transitions matter—think about physics, economics, or even coding where behaviour at specific moments counts. The revised 2025 NCERT syllabus helps you understand the idea behind each step instead of mindlessly memorizing formulas since it structures the questions in a more concept-driven manner.

You should not miss this one if you want to top your Class 12 board tests. Like a good tutor would, our methodical solutions for Chapter 5 Class 12 NCERT Solutions Exercise 5.2 gently and painstakingly take you through every difficulty. To make this subject your strength, keep concentrated, notice everything, and practice often.

FAQs – Continuity And Differentiability Class 12 Exercise 5.2 NCERT

Exercise 5.2 in the chapter Continuity and Differentiability has as its primary emphasis what?

It focuses on determining the differentiability of functions at certain locations and intervals, while maintaining the relationship with continuity.

Is differentiability exactly what continuity is?

Not precisely either. Though not differentiable, a function can be continuous. You will investigate this in great detail in Exercise 5.2.

I don’t understand what left-hand and right-hand derivatives mean. Any ideas?

Work on limitations from both sides of the function first. It is differentiable if both are equal and correspond with the value of the function. Our solutions streamline this with well defined procedures and examples.

How will knowledge of Exercise 5.2 benefit me in subsequent chapters?

For next chapters like Application of Derivatives and Integrals, knowledge of differentiability is important. It also raises your general calculus problem-solving speed.

Where is the best place to get examples of this exercise?

Just right here on Cogniks! For exact, thorough answers to every question, review our Continuity and Differentiability Class 12 NCERT Solutions Exercise 5.2.

Class 12 Maths Chapters

Chapter 1 – Relations and Functions
Chapter 2 – Inverse Trigonometric Functions
Chapter 3 – Matrices
Chapter 4 – Determinants
Chapter 5 – Continuity and Differentiability
Chapter 6 – Application of Derivatives
Chapter 7 – Integrals
Chapter 8 – Application of Integrals
Chapter 9 – Differential Equations
Chapter 10 – Vector Algebra
Chapter 11 – Three Dimensional Geometry
Chapter 12 – Linear Programming
Chapter 13 – Probability

Important Questions for Class 12