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# NCERT Solutions class 12 Maths Exercise 5.7

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## 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

NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 20 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide

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### 14 thoughts on “NCERT Solutions class 12 Maths Exercise 5.7”

1. sir aapka question number 14 men mistake h mines ki jagah plus h

2. thank you for it becaue this is also importent for student of up bord medium and it helps like as guide ——— Abhishek chaudhary class 12 (up bord hindi medium).

3. This is very useful guide

4. Nice solutions and thanks for this

5. Thanks…….a lot..perfect guide

6. Oh..god bless u ..thnk u for ur help..very helpful for us

7. Should give answers which have the same method of solving which is valid for boards !
Good Luck 🙂

8. VERY NICE

9. Thx alot.. Its gud for us to stdy easily.

10. It has perfect answers which is valid in board exam.and so helpful for us as a guide.thanks for this.

11. It has perfect answers which is valid for board exam and so helpful for us. Thanks
!

12. very very #Nice..

13. Thanku soo much this is very useful

14. THANK YOU SIR