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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

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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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).

This is very useful guide

Nice solutions and thanks for this

Thanks…….a lot..perfect guide

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

Should give answers which have the same method of solving which is valid for boards !

Good Luck 🙂

VERY NICE

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

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

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

!

very very #Nice..

Thanku soo much this is very useful

THANK YOU SIR