Solutions for Class 12 Maths Exercise 5.3 of Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Exercise 5.3 of Chapter 5 Continuity and Differentiability are available here for doing your homework , class assignments, and preparation of your forthcoming exams. NCERT solutions of maths are the best tools for achieving excellence in the maths subject.NCERT Solutions for Class 12 Maths Exercise 5.3 of Chapter 5 Continuity and Differentiability are created by an expert maths teacher who has experience of 25 years in teaching maths subjects.

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

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NCERT Solutions for Class 12 Maths Exercise 5.3 of Chapter 5 Continuity and Differentiability

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Find dy/dx in the following exercise 1 to 15.

Q1.2x + 3y = sinx

Ans.Differentiating the given function  2x + 3y = sinx with respect to x

Q2. 2x + 3y = siny

Ans.Differentiating the given function  2x + 3y = sinx with respect to x

Q3. ax + bx² = cosy

Ans. Given function is ax + bx² = cosy

Derivate function with respect to x , we have

Q4. xy + y² = tan x + y

Ans. Given function is xy + y² = tan x + y

Derivation function will respect to x, we have

Q5. x² + xy + y² = 100

Ans.The given function is x² + xy + y² = 100

Differentiating the given function with respect to x

 

Q6.x³ + x²y + y²x + y³ = 81

Ans.The given function is x³ + x²y + y²x + y³ = 81

Differentiating the given function with respect to x

Q7. sin²y + cosxy = π

Ans.The given function is sin²y + cosxy = π

Differentiating the given function with respect to x

Q8. sin²x + sin²y = 1

Ans.The given function is sin²x + sin²y = 1

Differentiating the given function with respect to x

Ans. The given function is

Simplifying the given function

Let x = tan θ

Putting back

Differentiating it with repect to x

Q10.

Ans. The given function is

First of all simplifying the function

Let x = tanθ

y = 3θ

Putting back θ = tan^-1x

y = 3 tan^-1x

Differentiating it with respect to x

The given function is

First of all simplifying the given function

Let x = tanθ

y =cos^-1(cos2θ)

y = 2θ

Putting back θ =tan^-1x

y = 2tan^-1x

Differentiating it with respect to x

Ans. The given function is

First of all simplifying the given function

Let x = tanθ

y =sin^-1(cos2θ)

y =sin^-1sin(π/2-2θ)

y =π/2 -2θ

Putting back θ =tan^-1x

y = π/2 -2tan^-1x

Differentiating the function with respect to x

Ans. The given function is

First of all simplifying the given function

Let x = tanθ

y =cos^-1(sin2θ)

y =cos^-1cos(π/2-2θ)

y =π/2 -2θ

Putting back θ =tan^-1x

y = π/2 -2tan^-1x

Differentiating the function with respect to x

 

 

Ans.The given function is

First of all simplifying the given function

Let x =sinθ

y =sin^-1(2sinθ.cosθ)

y =sin^-1(sin2θ)

y = 2θ

Putting back θ =tan^-1x

y = 2tan^-1x

Differentiating the function with respect to x

Ans.The given function is

First of all simplifying the given function

Let x =cosθ

y =sec^-1(sec2θ)

y = 2θ

Putting back θ =cos^-1x

y = 2cos^-1x

Differentiating the function with respect to x

 

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NCERT Solutions of  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 science 

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

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

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

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

Chapter 1- Chemical reactions and equations	Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt	Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals	Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds	Chapter 12- Electricity
Chapter 5-Periodic classification of elements	Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process	Chapter 14-Sources of Energy
Chapter 7-Control and Coordination	Chapter 15-Environment
Chapter 8- How do organisms reproduce?	Chapter 16-Management of Natural Resources

Solutions of class 10 last years Science question papers

CBSE Class 10 – Question paper of science 2020 with solutions

CBSE class 10 -Latest sample paper of science

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	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