NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7: This page Consist of detail step by step NCERT Solutions For Class 12 Maths Chapter 5-Continuity & Differentiability Exercise 5.7.
Krati Saraswat30 Jan, 2024
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NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability is prepared by the academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of Chapter 5. Given below is step by step solutions of all questions given in NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability.NCERT Solutions for Class 12 Maths Chapter 5 Miscellaneous Exercise
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability Overview
These crucial subjects are covered in NCERT Solutions for Class 12 Maths Chapter 5. In order to completely comprehend the concepts presented in the chapter and make the best use of the offered answers, students are recommended to go over each topic in great detail. The Physics Wallah teachers have been working hard to help students comprehend the concepts discussed in this chapter, and the results are these solutions. Students should easily achieve excellent exam outcomes after reviewing and practicing these solutions.NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability:
Find the second order derivatives of the functions given in Exercises 1 to 5. Question 1. x 2 + 3x + 2 Solution : Let y = x 2 + 3x + 2
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1
Question 2. x 20 Solution : Let x 20
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2
Question 3. x.cos x Solution : Let x. cos x
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3
Question 4. log x Solution : Let log x
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4
Question 5. x 3 log x Solution : Let x 3 log x
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.5
Find the second order derivatives of the functions given in Exercises 6 to 10. Question 6. e x sin 5x Solution : Let e x sin 5x
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.6
Question 7. e 6x cos x Solution : Let e 6x cos x
NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8
Question 8. tan -1 x Solution : Let tan -1 x
Question
9. log (log x)
Solution :
Let log (log x)
Question
10. sin(log x)
Solution :
Let sin (log x)
Question
11. If y = 5 cos x - 3 sin x pro
ve that
Solution :
Let y = 5 cos x - 3 sin x
Question
12. If y = cos
-1
x Find
in terms of y alone.
Solution :
Given: y = cos
-1
x
Question
13. If y = 3 cos (log x) + 4 sin (log x), show that x
2
y
2
+ xy
1
+ y = 0
Solution :
Given: y = 3 cos (log x) + 4 sin (log x)
Hence proved.
Question
14. If y = Ae
mx
+ Be
nx
show that
Solution :
Given: y = Ae
mx
+ Be
nx
Hence proved.
Question
15. If 500e
7x
+ 600e
-7x
show that
Solution :
Given: 500e
7x
+ 600e
-7x
Hence proved.
Question
16. If e
y
(x + 1) = 1, show that
Solution :
Given: e
y
(x + 1) = 1
Taking log on both sides,
Differentiating this relationship with respect to
x
, we obtain
Hence proved.
Question
17. If y = (tan
-1
x)
2
show that
(x
2
+ 1)
2
y
2
+ 2(x
2
+ 1)y
1
= 2
Solution :
Given: y = (tan
-1
x)
2
Hence proved.
NCERT Solutions for Class 12 Maths Chapter 5 FAQs
Why is Exercise 5.7 important in Chapter 5 of Class 12 Maths?
Exercise 5.7 is crucial in Chapter 5 as it focuses on the concepts of continuity and differentiability. These are fundamental concepts in calculus, and understanding them is essential for solving problems related to derivatives and integrals. Exercise 5.7 provides a comprehensive set of problems to reinforce these concepts.
How can I access NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7?
NCERT Solutions for Exercise 5.7 can be found in various study materials, online educational platforms, or official NCERT websites. You can access them in textbooks, reference books, or online resources that provide detailed solutions to the exercises.
What topics are covered in Exercise 5.7 of Chapter 5?
Exercise 5.7 covers topics related to continuity and differentiability. It involves finding points of continuity and differentiability, applying theorems, and solving mathematical problems that require an understanding of these concepts.
Are NCERT Solutions for Exercise 5.7 helpful for board exams?
Yes, NCERT Solutions for Exercise 5.7 are extremely helpful for board exams. They provide step-by-step explanations for each problem, helping students understand the logic and reasoning behind the solutions. Practicing with these solutions enhances problem-solving skills and ensures a thorough understanding of the concepts.
How should I approach solving problems in Exercise 5.7?
Start by reading the NCERT textbook thoroughly to understand the concepts covered in Exercise 5.7. Attempt the exercises independently to test your problem-solving skills. Afterward, refer to the NCERT Solutions to check your answers and understand the correct approach to solving each problem.
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