**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 **

**CBSE Class 9-Question paper of science 2020 with solutions**

**CBSE Class 9-Sample paper of science**

**CBSE Class 9-Unsolved question paper of science 2019**

**NCERT Solutions of class 10 maths**

**CBSE Class 10-Question paper of maths 2021 with solutions**

**CBSE Class 10-Half yearly question paper of maths 2020 with solutions**

**CBSE Class 10 -Question paper of maths 2020 with solutions**

**CBSE Class 10-Question paper of maths 2019 with solutions**

**NCERT solutions of class 10 science**

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

**CBSE Class 10 – Question paper of science 2020 with solutions**

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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 |