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 |
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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 |
CBSE Class 11-Question paper of maths 2015
CBSE Class 11 – Second unit test of maths 2021 with solutions
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 |