NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 - Continuity and Differentiability
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 are created by our experts to help students to understand the concepts of the chapter better. Solve these questions to ace your examinations.
Krati Saraswat18 Jan, 2024
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NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Continuity and Differentiability
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Continuity and Differentiability is prepared by the academic team of PW. We have prepared NCERT Solutions for all exercises of Chapter 5. Given below is step by step solutions of all questions given in NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Continuity and Differentiability.NCERT Solutions for Class 12 Maths Chapter 5 Miscellaneous Exercise
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Overview
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 covers these important topics. Students are encouraged to review each topic thoroughly in order to fully understand the concepts taught in the chapter and make optimal use of the provided solutions. These solutions are the outcome of the dedicated effort that the Physics Wallah teachers have been doing to aid students in understanding the ideas covered in this chapter. After going over and rehearsing these responses, the goal is for students to easily score outstanding exam results.NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2
Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Continuity and Differentiability:
Differentiate the functions with respect to x in Exercise 1 to 8.
Question 1. sin (x 2 + 5) Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1
Question 2. cos(sin x) Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3
Question 3. sin(ax + b) Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4
Question 4. sec(tan (√x)) Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.5
Question 5.
Solution :
∴
h
is a composite function of two functions,
p
and
q
.
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.6
Question 6.
Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7
Question 7.
Solution :
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8
Question 8. cos(√x) Solution :
Question
9. Prove that the function f given by
is not differentiable at x = 1
Solution :
Since the left and right hand limits of
f
at
x
= 1 are not equal,
f
is not differentiable at
x
= 1
Question
10. Prove that the greatest integer function defined by f(x) = [x],0 < x < 3 is not differentiable at x = 1 and x = 2
Solution :
The given function
f
is f(x) = [x],0 < x < 3
It is known that a function
f
is differentiable at a point
x
=
c
in its domain if both
Since the left and right hand limits of
f
at
x
= 2 are not equal,
f
is not differentiable at
x
= 2
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 FAQs
How many exercises are there in continuity and differentiability?
Class 12 Maths Chapter 5 Continuity and Differentiability has 144 questions in 9 exercises.
Is continuity and differentiability a tough chapter in class 12 maths?
No, continuity and differentiability is an easy chapter.
How many types of function is continuous?
All polynomial functions are continuous over the set of all real numbers. The absolute value function |x| is continuous over the set of all real numbers. Exponential functions are continuous at all real numbers.
Are polynomials always continuous?
Therefore, every polynomial function is continuous in their domain.
Is root function continuous?
The square root function is continuous for all nonnegative x, and differentiable for all positive x.
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