NCERT Solutions for Class 12 Maths Exercise 5.5 of Chapter 5 Continuity and Differentiability - Future Study Point

# NCERT Solutions for Class 12 Maths Exercise 5.5 of Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Exercise 5.5 of Chapter 5 Continuity and Differentiability are the best study material for clearing your concept on Continuity and Differentiability which is required to solve the questions on the chapter 5 Continuity and Differentiability of Class 12 Maths .These NCERTย  Solutions for Class 12 Maths Exercise 5.5 of Chapter 5 Continuity and Differentiability are created by a Maths expert in Future Study Point who has experience of 25 years of Maths teaching .

## NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

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Exercise 5.5-Continuity and Differentiability

## NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

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Differentiate the function with respect to x in exercise 1 to 5

Q1. cos x cos 2x cos 3x

Ans. The given function is cos x cos 2x cos 3x

Let y = cos x cos 2x cos 3x

Taking logarithms both sides

log y = log (cos x cos 2x cos 3x)

log y = log cos x + log cos 2x + log cos 3x

Differentiating both sides

Ans.

Taking logarithms on both sides

Differentiating the given function with respect to x

Ans.The given function isย  ย  ย

Taking logarithms on both sides

Differentiating the function with respect to x

Ans.ย

Let ย  ย  ย  ย  ย

Now,

Taking logarithms both sides

log u = x log x

Differentiating the function with respect to x

Now,

Taking logarithms both sides

log v = sin x log 2

Differentiating both sides with respect to x

Substituting the value of du/dx and dv/dx in the following equation

Q5.(x +3)2(x +4)3(x +5)4

Ans. The given function is (x +3)2(x +4)3(x +5)4

Let y = (x +3)2(x +4)3(x +5)4

Taking logrithms both sides

log y = log [(x +3)2(x +4)3(x +5)4]

log yย  = log(x +3)2+log(x +4)3+log(x +5)4

log yย  =2 log(x +3)+3log(x +4)+4log(x +5)

Differentiating both sides

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## NCERT Solutions ofย  Science and Maths for Class 9,10,11 and 12

### NCERT Solutions of class 9 maths

 Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles Chapter 2-Polynomial Chapter 10-Circles Chapter 3- Coordinate Geometry Chapter 11-Construction Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes Chapter 6-Lines and Angles Chapter 14-Statistics Chapter 7-Triangles Chapter 15-Probability Chapter 8- Quadrilateral

### NCERT Solutions of class 9 scienceย

 Chapter 1-Matter in our surroundings Chapter 9- Force and laws of motion Chapter 2-Is matter around us pure? Chapter 10- Gravitation Chapter3- Atoms and Molecules Chapter 11- Work and Energy Chapter 4-Structure of the Atom Chapter 12- Sound Chapter 5-Fundamental unit of life Chapter 13-Why do we fall ill ? Chapter 6- Tissues Chapter 14- Natural Resources Chapter 7- Diversity in living organism Chapter 15-Improvement in food resources Chapter 8- Motion Last years question papers & sample papers

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### NCERT Solutions of class 10 maths

 Chapter 1-Real number Chapter 9-Some application of Trigonometry Chapter 2-Polynomial Chapter 10-Circles Chapter 3-Linear equations Chapter 11- Construction Chapter 4- Quadratic equations Chapter 12-Area related to circle Chapter 5-Arithmetic Progression Chapter 13-Surface areas and Volume Chapter 6-Triangle Chapter 14-Statistics Chapter 7- Co-ordinate geometry Chapter 15-Probability Chapter 8-Trigonometry

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### NCERT solutions of class 10 science

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### Solutions of class 10 last years Science question papers

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### NCERT solutions of class 11 maths

 Chapter 1-Sets Chapter 9-Sequences and Series Chapter 2- Relations and functions Chapter 10- Straight Lines Chapter 3- Trigonometry Chapter 11-Conic Sections Chapter 4-Principle of mathematical induction Chapter 12-Introduction to three Dimensional Geometry Chapter 5-Complex numbers Chapter 13- Limits and Derivatives Chapter 6- Linear Inequalities Chapter 14-Mathematical Reasoning Chapter 7- Permutations and Combinations Chapter 15- Statistics Chapter 8- Binomial Theorem ย Chapter 16- Probability

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### NCERT solutions of class 12 maths

 Chapter 1-Relations and Functions Chapter 9-Differential Equations Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry Chapter 4-Determinants Chapter 12-Linear Programming Chapter 5- Continuity and Differentiability Chapter 13-Probability Chapter 6- Application of Derivation CBSE Class 12- Question paper of maths 2021 with solutions Chapter 7- Integrals Chapter 8-Application of Integrals

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