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RD Sharma Class 12 Solutions Chapter 11 - Differentiation (Ex 11.3) Exercise 11.3

Last updated date: 20th May 2024
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RD Sharma Class 12 Solutions Chapter 11 - Differentiation (Ex 11.3) Exercise 11.3 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 11 - Differentiation Exercise 11.3 solved by Expert Mathematics Teachers on All Chapter 11 - Differentiation Ex 11.3 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

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Competitive Exams after 12th Science

Definition of Differentiation

Differentiation is called to be a process of finding the derivatives for a function. In calculus. A derivative is defined as the rate of change for a function in respect to another quantity. So in easy words differentiation is the rate of change with respect to 2 two different quantities.

Differentiation mainly calculates the ratio of small 3 which occurs in one particular quantity with respect to the small changes that occur in another quantity, keeping in mind that these two quantities under observation are dependent on each other.

As we have established that differentiation concerns derivatives, so the three main derivatives in concern are as follows:

1.    algebraic functions, D(xn) = nxn − 1, n is any real number;

2.   trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and

3.   exponential function, D(ex) = ex.

There are various techniques which are used for the Differentiation of Calculus such as

  • The product rule
  • The quotient rule
  • The chain rule
  • This particular chain rule is classified as a general power rule, and general exponential rule and the general logarithm rule.

Few common properties of the derivatives are as follows

  • The situation where the limit of a sum is the sum of the limits
  • The situation where the limit of a product is the product of the limit.

Outline for R D Sharma Chapter 11 Class 12th :

  • Exercise 11.1- 10 question
  • Exercise 11.2- 74 question
  • Exercise 11.3- 48 question
  • Exercise 11.4- 30 question
  • Exercise 11.5- 69 question
  • Exercise 11.6- 8 question
  • Exercise 11.7- 28 question
  • Exercise 11.8- 24 question
  • Exercise 11 MCQ- 17 question
  • Exercise 11 V S A Q- 16 question

FAQs on RD Sharma Class 12 Solutions Chapter 11 - Differentiation (Ex 11.3) Exercise 11.3

1. How to excel in differentiation topics in Class 12th Mathematics?

A bright or average student can excel and differentiate by a few of the following methods. First of all pay attention in the class because the topic is being taught. This leads to conceptual clarity for the students and practice note-making during classroom hours. Apart from this NCERT book provides you with sufficient theory material for a student to grasp all the concepts related to the differentiation topic whether it must be properties of differentiation derivatives are the limits of the varied techniques used in the differentiation procedure then comes the thorough revision of all the techniques Learnt during the theory time. Revision is done via multiple times practicing of the numerical which are initially given in the NCERT book, one who is well known to NCERT good move to RD Sharma for much more detailing and problem-solving efficiency.

2. Where to find the solutions for RD Sharma book Chapter 11 Class 12th?

Here on Vedantu, you can find the solved questions of RD Sharma as well as all the unsolved questions which are explained in a detailed way by our experts and professionals from high universities. These solutions are available at free of cost in a one-click scenario to all the students we here at Vedantu provide you with assistance at any hour of the day as we believe that no one should be left in doubt in respect to gaining 100% knowledge for students.

3. Is Solving all the questions of RD Sharma necessary?

One must see that they have completed all the questions of the NCERT textbook first and then if time permits go for RD Sharma but as my advice RD Sharma does provide you with a wide variety and range of questions that could be asked during your examination giving you overall coverage of information regarding any particular topic in concern there a onetime impossible attempt of all the questions of RD Sharma is advisable. From which you can highlight the important ones and revise those in the final examination term.

4. Is differentiation an easy topic to complete?

Every topic becomes easy after we are able to understand the concepts being taught in a Chapter and when all our doubts are cleared about the Chapter in concern. The concepts could be learned and then practicing numerical questions regarding Differentiation would make your concepts firm. Apart from this, in case of any doubts, Vedantu is present at your assistance with professionals who could solve your doubts in a fun and easy way.