# NCERT Solutions for Class 12 Maths Continuity and Differentiability

Hi Students, Welcome to **Amans Maths Blogs (AMB)**. In this post, you will get the * NCERT Solutions for Class 12 Maths Continuity and Differentiability Exercise 5.7*.

* CBSE Class 12^{th}* is an important school class in your life as you take some serious decision about your career. And out of all subjects, Maths is an important and core subjects. So

*is major role in your exam preparation as it has detailed chapter wise solutions for all exercise. This*

**CBSE NCERT Solutions for Class 12**^{th}Maths**can be downloaded in PDF file. The downloading link is given at last.**

*NCERT Solutions** NCERT Solutions for Class 12 Maths* are not only the solutions of Maths exercise but it builds your foundation of other important subjects. Getting knowledge of depth concept of

*like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.*

**CBSE Class 12**^{th}MathsAs we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the **CBSE NCERT Syllabus**. Thus, * NCERT Solutions* helps the students to solve the exercise questions as given in

*.*

**NCERT Books**## NCERT Solutions for Class 12 Maths Continuity and Differentiability Exercise 5.7

Find the second order derivatives of the functions given in Exercises 1 to 10.

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 1.**

x^{2} + 3x + 2

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 2.**

x^{20}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 3.**

x . cos x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 4.**

log x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 5.**

x^{3} log x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 6.**

e^{x} sin 5x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 7.**

e^{6x} cos 3x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 8.**

tan^{–1} x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 9.**

log (log x)

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 10.**

sin (log x)

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 11.**

If y = 5 cos x – 3 sin x, prove that

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 12.**

If y = cos^{–1} x, Find in terms of y alone

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 13.**

If y = 3 cos (log x) + 4 sin (log x), show that x^{2} y_{2} + xy_{1} + y = 0

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 14.**

If y = Ae^{mx} + Be^{nx}, show that

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 15.**

If y = 500e^{7x} + 600e^{– 7x}, show that

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 16.**

If e^{y} (x + 1) = 1, show that

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.7: Ques No 17.**

If y = (tan^{–1} x)^{2}, show that (x^{2} + 1)^{2} y_{2} + 2x (x^{2} + 1) y_{1} = 2

**NCERT Solutions:**