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# 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 5.5*.

* 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 5.5

Differentiate the functions given in Exercises 1 to 11 w.r.t. x.

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 1.**

cos x . cos 2x . cos 3x

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 2.**

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 3.**

(log x)^{cos x}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 4.**

x^{x} – 2^{sin x}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 5.**

(x + 3)^{2} . (x + 4)^{3} . (x + 5)^{4}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 6.**

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 7.**

(log x)^{x} + x^{log x}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 8.**

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 9.**

x^{sin x} + (sin x)^{cos x}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 10.**

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 11.**

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Find dy/dx of the functions given in Exercises 12 to 15.

**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 12.**

x^{y} + y^{x} = 1

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 13.**

y^{x} = x^{y}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 14.**

(cos x)^{y} = (cos y)^{x}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 15.**

x^{y} = e^{(x – y)}

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 16.**

Find the derivative of the function given by f (x) = (1 + x)(1 + x^{2})(1 + x^{4})(1 + x^{8}) and hence find f ′(1).

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 17.**

Differentiate (x^{2} – 5x + 8)(x^{3} + 7x + 9) in three ways mentioned below:

(i) by using product rule

(ii) by expanding the product to obtain a single polynomial.

(iii) by logarithmic differentiation

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**NCERT Solutions for Class 12 Maths Continuity and Differentiability ****Exercise**** 5.5: Ques No 18.**

If u, v and w are functions of x, then show that in two ways – first by repeated application of product rule, second by logarithmic differentiation.

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