Class 12 Maths Ncert Solutions Chapter 5.7
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Install NowNCERT Solutions class 12 Maths Exercise 5.7 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.
Download NCERT solutions for Continuity and Differentiability as PDF.
NCERT Solutions class 12 Continuity & Differentiability
Find the second order derivatives of the functions given in Exercises 1 to 5.
1. 
Ans. Let 
2. 
Ans. Let 
3. 
Ans. Let 
= 
= 
= 
= 
= 
= 
4. 
Ans. Let 
= 
5. 
Ans. Let 
= 
= 
= 
= 
= 
= 
= 
= 
= 
Find the second order derivatives of the functions given in Exercises 6 to 10.
6. 
Ans. Let 
= 
= 
= 
= 
= 
= 
7. 
Ans. Let 
= 
= 
= 
= 
= 
= 
8. 
Ans. Let 
= 
= 
= 
9. 
Ans.Let 
= 
= 
= 
= 
10. 
Ans. Let 
= 
= 
= 
= 
= 
11. If 
prove that 
Ans. Let 
…….(i)
= 
= 
[From eq. (i)]
12. If 
Find 
in terms of 
alone.
Ans. Given: 
……….(i)
= 
[From eq. (i)]
= 
……….(ii)
= 
= 
= 
[From eq. (ii)]
13. If 
show that 
Ans. Given: 
….(i)
= 
Now 
[From eq. (i)]
Hence proved.
14. If 
show that 
Ans.Given: 
….(i)
To prove: 
….(ii)
Again 
= 
….(iii)
Now, L.H.S.=
= 
= 
= 0
= R.H.S. Hence proved.
NCERT Solutions class 12 Maths Exercise 5.7
15. If 
show that 
Ans. Given: 
……….(i)
= 
= 
= 
[From eq. (i)]
= Hence proved.
NCERT Solutions class 12 Maths Exercise 5.7
16. If 
show that 
Ans. Given: 
Taking log on both sides, 
= 
And 
Now, L.H.S. =
And R.H.S. = 
L.H.S. = R.H.S. Hence proved.
NCERT Solutions class 12 Maths Exercise 5.7
17. If 
show that 
Ans. Given: 
……….(i)
And 
= 
Again differentiating both sides w.r.t. 
Hence proved.
NCERT Solutions class 12 Maths Exercise 5.7
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Class 12 Maths Ncert Solutions Chapter 5.7
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