RD Sharma Solutions for Class 12 Maths - Differentials, Errors and Approximations - Free PDF Download
FAQs on Easy Preparation with Class 12 RD Sharma Maths Chapter 14 Solutions
1. How do you approximate differentials?
The derivatives are often used to approximate values of certain quantities. Method to estimate the value of a function near a known value. The approach uses the tangent line to approximate the graph of the function at the known value of the function. In this process, Δx and Δy are the changes in x and y for the function, and dx and dy are the changes in x and y for the tangent line. This also hints that the differential of the independent variable is equal to an increase in the variable but the differential of the dependent variable is not so. It also helps to find the intervals in between the increasing or decreasing function.
2. How to measure the error of approximation?
The error usually is a very small quantity since small errors can occur but not big ones. Δy=dy represents error which means an error in measurement is differential of the function. We can make an assumption that the total error in the calculations is the sum of different errors due to errors in the measurement of the individual variables. Approximation of the errors in calculating certain functions is a logical extension of the approximation of functions.
3. What is the use of approximation in mathematics?
The approximation is usually used to make calculation in higher maths easy. We make a logical approximation from some known data to get the date we don’t know. Inadequate information especially between intervals of two known values can be sorted by approximation. It gets even simpler by the use of a graph where when we join the known points with a line we can get the points in between which is a very logical approach towards approximation. Hence the concept of approximation especially in differentials makes maths easy.
4. How to prepare for the differentials, errors, and approximations?
The differentials, errors, and approximations are an important chapter to score for Class 12 students in their board exams including the competitive exam. The right approach in studying this chapter is extremely necessary for scoring well. Few preparation tips can help the students a lot.
Proper understanding of the chapter and developing a clear concept on the topic is the first important step.
Study the rules and formulas in regular intervals.
Practice. There is no shortcut to hard work.
Solve RD Sharma and study the detailed stepwise solutions if needed.
To boost your confidence level, solve sample papers and last years’ question papers. Other practice books can also be solved
Revision of the chapter is necessary.
5. What are the resources available to study differentials?
Differential is the one of most scoring chapters in Class 12 Maths. This topic is not only scoring but also needs less time for answering thus giving you all the time you need for other questions in your exam paper. The additional advantage of this chapter is that it has good weightage in all Maths exams of Class 12 level including the competitive ones. Hence right approach and good practice are important to ace this topic. Solving RD Sharma is quite beneficial especially when the students can get the free pdf of RD Sharma solutions from Vedantu. Students who aim high can also go with a few important reference books. The best among them are Cengage Calculus by G.Tewani and M.L.Khanna Maths. Solving these books not only makes your concepts even deeper but also they serve as a good practice zone.