NCERT Solutions for Class 12 Maths Chapter 5 – Continuity and Differentiability Exercise 5.5

Download Chapter 5 – Continuity And Differentiability NCERT Solutions PDF

Quick Navigation – Jump to Question

Ex 5.5, 1
Ex 5.5, 2
Ex 5.5, 3
Ex 5.5, 4

Ex 5.5, 5
Ex 5.5, 6
Ex 5.5, 7
Ex 5.5, 8

Ex 5.5, 9
Ex 5.5, 10
Ex 5.5, 11
Ex 5.5, 12

Ex 5.5, 13
Ex 5.5, 14
Ex 5.5, 15
Ex 5.5, 16

Ex 5.5, 17
Ex 5.5, 18

Chapter 5 – Continuity and Differentiability Exercise 5.5

1.

Differentiate composite trigonometric function – Q1

Differentiate composite trigonometric function – Q1-answer

2.

Solve second-order differentiation – Exercise 5.5 Q2

Step-by-step first derivative solution –Q2

Second derivative with final expression – Q2-step-2

3.

Find derivative of algebraic-logarithmic mix – Q3

Algebraic-logarithmic function differentiated – Q3

4.

Differentiate function using chain rule – Q4

Chain rule applied to differentiate – Q4 Part 1

Final simplification and result – Q4 Part 2

5.

Apply quotient and product rule – Q5 Class 12

Initial application of rules in derivation – Q5

Final solution and derivative expression – Q5

6.

Complex composite differentiation – Q6 Exercise

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 6 Step 1: Differentiation breakdown- NCERT Answer

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 6 Further simplification using trig rules- NCERT Answer

7.

Log-exponential function derivation – Q7 NCERT

Differentiation involving exponential terms – Q7

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 7 Solution - NCERT Answer

8.

Second-level derivative application – Q8

Breakdown of function for differentiation – Q8

9.

Differentiate function involving tan and log – Q9

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 9 Solution - NCERT Answer

10.

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 10-Evaluate composite exponential derivatives - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 10-differentiation of exponentials- NCERT Answer

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 10 expression for composite result- NCERT Answer

11.

Class-12 Continuity-and-Differentiability Exercise-5.5 Multi-step differentiation with simplification Question 11 - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 11 Mid-simplification of equation- NCERT Answer

12.

Class-12 Continuity-and-Differentiability Exercise-5.5 Differentiate function using multiple rules Question 12 - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 12 Apply rules to break down function- NCERT Answer

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 12 Detailed differentiation- NCERT Answer

13.

Class-12 Continuity-and-Differentiability Exercise-5.5 Find first and second derivative –Question 13 - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 13 Solution showing first and second derivative

14.

Application of product and chain rule – Q14

Combined rule application in steps – Q14

15.

Composite trig-log differentiation – Q15

Differentiation of complex functions – Q15

16.

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 16 - NCERT

High-order function derivation – Q16 Step 1

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 16 with function simplification- NCERT Answer

17.

Class-12 Continuity-and-Differentiability Exercise-5.5 Multi-rule application in derivation Question 17 - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 17 Initial derivative setup-1 - NCERT Answer-1

Intermediate steps with simplification – Q17

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 17 Further breakdown of terms-3 - NCERT Answer-3

18.

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 18-Simplify and differentiate given function - NCERT

Class-12 Continuity-and-Differentiability Exercise-5.5 Question 18 Solved final answer using rules- NCERT Answer

Download Exercise 5.5 NCERT Solutions PDF

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

Download Chapter 5 – Continuity And Differentiability NCERT Solutions PDF

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

Exercise	Link
Exercise 5.1	View Solutions
Exercise 5.2	View Solutions
Exercise 5.3	View Solutions
Exercise 5.4	View Solutions
Exercise 5.6	View Solutions
Exercise 5.7	View Solutions
Miscellaneous Exercise	View Solutions

Class 12 Continuity And Differentiability- Exercise 5.5 Overview

By exploring derivatives of inverse trigonometric functions, Continuity and Differentiability Class 12 NCERT Solutions Exercise 5.5 offers a new twist on your calculus road map. Given that integration and application-based problems in advanced mathematics rely on this activity, it is especially crucial in the 2025 revised NCERT syllabus.

The emphasis of this exercise on sin⁻¹x, cos⁻¹x, and tan⁻¹x distinguishes it. Along with learning how to set them apart, you’ll also pick up algebraic simplifications and chain rule techniques in concert. This one will push you to apply the fundamental differentiation rules in a more complex manner if you have mastered the ones in previous problems.

Working through Chapter 5 Class 12 NCERT Solutions Exercise 5.5 will help you to understand how these inverse functions behave under differentiation. Where these functions are frequently utilized, you will also begin to link dots with real-world applications including signal processing, physics, and computer graphics.

Our methodical answers are designed to enable you to clearly grasp even the toughest problems. Exercise 5.5 improves your calculus basis and increases your confidence in answering problems whether you are getting ready for competitive or board exams.

FAQs – Continuity And Differentiability Class 12 Exercise 5.5 NCERT

How might one recall inverse trigonometric function derivatives?

Try compiling a mnemonic or little chart. Regular practicing with the IDs will assist them to become second nature.

Why is Exercise 5.5 vital for studying for board tests and JEE?

Because it evaluates your grasp of fundamental calculus ideas, this question is often asked on both competitive and board exams.

What has to be reviewed before I try Exercise 5.5?

Particularly the chain rule from Exercise 5.4, be sure you are at ease with simple trigonometric identities and derivatives from previous exercises.

Are there any shortcuts for resolving inverse trigonometric derivatives?

Indeed, identify typical forms and apply formulas straight forwardly. Use substitution methods as well to streamline difficult statements as needed.