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RD Sharma Class 12 Maths Solutions Chapter 11 - Differentiation

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RD Sharma Solutions for Class 12 Maths Chapter 11 - Differentiation - Free PDF Download

Differentiation in Class 12 Maths is not only a scoring but an easily understandable chapter. It lays the foundation for the complete concept of calculus for the ongoing class and even the advanced concepts of calculus in higher classes. Students need to focus on this chapter to perform well in maths, also a few topics in Physics and chemistry as well.

 

RD Sharma is a good book, which is almost the most preferred and reliable book after completing the Class 12 NCERT textbook. RD Sharma is the toughest book to cover at school Maths level. However if you wish to aim higher and also are preparing for entrance exams this book is a must and will help you sail through the subject with excellent results.

 

Vedantu provides a free PDF version of RD Sharma. After clearing basic concepts and completing the syllabus from the NCERT textbook, Class 12 students should definitely download and practice RD Sharma.

 

In addition to integration, differentiation is one of the two essential principles in calculus.

 

Differentiation is the tactic to work out the rate of change in function on the basis of per unit change of its variables. A common example is finding the rate of change of velocity with respect to time is called acceleration. A derivative of a function is found by differentiation.  Functions can be of linear and non-linear categories. The opposite of finding derivatives is referred to as anti-differentiation. The general expression of differentiation is dy/dx which determines the rate of change of x with respect to y.

Last updated date: 03rd Jun 2023
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Competitive Exams after 12th Science

Basic Differentiation Rules

The differentiation rules are clubbed up as follows with a brief explanation:

  • Sum and Difference Rule which determines the sum or difference of two functions and the derivative is basically the sum or difference of the individual functions.

  • Product Rule which determines the product of the first function by the derivative of the second plus second function is multiplied by the derivative of the first.

  • Quotient Rule determines the derivative of a function that is the ratio of two differentiable functions.

  • Chain Rule determines the formula for computing the derivative of the composition of two or more differentiable functions.

  • Derivative Rules

Common Functions

Function

Derivative

Difference Rule

f - g

f' − g'

Product Rule

fg

f g' + f' g

Quotient Rule

f/g

f' g − g' fg2

Reciprocal Rule

1/f

−f'/f2

Conclusion:

All solutions are explained clearly in a step by step manner to provide a unique learning experience to students. The RD Sharma Solutions for Class 12 Math Chapter 11 also have a lot of exercise and practice problems so that students will have enough practice of the subject before their exams. Students can download a free PDF of RD Sharma Class 12 Differentiation Solutions free of cost.

FAQs on RD Sharma Class 12 Maths Solutions Chapter 11 - Differentiation

 1. What is the importance of differentiation in real life?

Differentiation helps in solving many daily problems in life. For instance to determine the maximum and minimum values of certain specific functions like cost, profit, loss etc we use derivatives. To determine the speed or acceleration of a moving vehicle we need differentiation. Differentiation is the platform of calculation for most engineering and science problems. Differentiation even helps us understand how stars, planets and satellites move with respect to each other. There are many applications of derivatives in Physics and even in Chemistry.

2. How to score well in differentiation in Class 12?

Differentiation is an important chapter in class 12 Math and also for competitive exams like JEE Main and Advanced. Students need to have a clear concept about this topic to score high marks in Math of Class 12 and JEE. A few important tips that can help them to score high on this topic are as follows:

  • Understand and clear the concept from the definition itself

  • The standard formulas in differentiation are very important. Revise them regularly

  • The nature of functions need to be well understood

  • Application of derivatives are important

  • Revising and practicing this topic on regular basis at least for a few minutes is important

3. What is the weightage of differentiation in different exams of class 12?

Differentiation is an important chapter in both Class 12 Boards and JEE Main. In JEE Main Differentiation comes within the first four top chapters with weightage of expected marks of around 28-30 from this particular chapter. Almost 2 questions will surely appear from this chapter. Above that this topic is easy to score and takes less time to be solved. So, students must focus on this chapter from the very beginning both in their Class 12 Maths preparation and JEE preparation. Differentiation is also important and easily scoring in the board exam. The unit of calculus including differentiation and integration also has a great weightage in the board paper bearing 35 marks.