# RD Sharma Class 12 Chapter 12 Solutions (Higher Order Derivatives)

RD Sharma Class 12 Maths Solutions, for Chapter 12 ‘Higher Order Derivatives’, are designed to help students appear in CBSE and advanced competitive exams with confidence. The book contains enough problems and their solutions to make you understand what Higher Order Derivatives are all about. The chapter of RD Sharma Solutions talks about definitions and notations, proving relations involving various order derivatives of Cartesian functions, on finding second-order derivatives of parametric functions, and on proving relations involving various order derivatives of parametric functions.

These solutions are given in RD Sharma Class 12 Maths for Higher-Order Derivatives comprise 1 exercise having a total of 47 questions. These questions have been solved in an easy to understand language and are arranged in exactly the same format as found in Chapter 12. These solutions will prepare you to appear confidently in your CBSE and several advanced levels competitive exams such as JEE Main and JEE Advanced or other engineering entrance exams for graduate studies.

These RD Sharma Class 12 Maths Solutions would test your knowledge of the topics and the subject itself. Instasolv’s solutions allow you to look at the concept with a different perspective and acquire the topic from its core. In this chapter, you’ll learn the significance of higher-order derivatives and their usage in various other concepts of mathematics.

## Topics covered in RD Sharma Class 12 Maths Solutions Chapter 12 – Higher Order Derivative

**Definition and Notations**

The derivative of y w.r.t x when y = f(x), then dy/dx will in general be a function of x. In this case, dy/dx can be differentiated further.

Let’s call dy/dx the first-order derivative of y w.r.t x.

Let us also derivative of dy/dx w.r.t x as y’s second order derivative w.r.t x.

You can denote a second-order derivative of dy/dx as d2y/dx2.

Similarly, the third-order derivative of y w.r.t x or the derivative of d2y/dx2 can be censored by d3y/dx3.

Therefore the sth order derivative of y w.r.t x will be dsy/dxs.

Now if y is f(x), then you may use the following notations for

Dy/dx, d2y/dx2, d3y/dx3, ….., dny/dxn…

Y1, y2, y3, …. yn

Y’, y’’, y3, …., yn

Dy, D2y, D3y, … Dny

F’(x), f’’(x), f’’’(x),…. fn(x)

**Type 1 **Relations that include Cartesian functions’ various order derivatives

**Type 2 **Finding the value of parametric functions’ second-order derivatives

**Type 3 **To prove relations with various order derivatives in Parametric functions.

## Discussion of Exercises of RD Sharma Class 12 Maths Chapter 12 Higher Order Derivatives

Chapter 12 – Higher Order Derivatives in RD Sharma Class 12 Maths book teaches you the concept of how to find the derivative of a given variable with respect to another variable. The chapter has only one exercise totalling 47 questions where you’ll be asked to find the second-order derivative of the given functions, proving the value of various order derivatives, to find the value of the two variables and their usage in various order derivative equations and many more.

These questions require you to have a sound knowledge of trigonometric functions and you should be able to solve equations to prove that LHS is equal to the RHS. Solutions given in the exercises are curated in the easiest possible language for students to not face difficulties while they are learning the concept from its core.

## Benefits of RD Sharma Class 12 Maths Solutions for Chapter 12 – Higher Order Derivatives by Instasolv

- Instasolv employs experts with rich experience in Maths. According to these experts, it is very important to curate solutions in a language that students easily understand and do not spend much time understanding what can be told in fewer words or equations.
- These solutions are drafted to help you learn the most out of these problems.
- The most important reason for you to choose Instasolv is that you can get high-quality RD Sharma Class 12 Solutions Maths Chapter 12 free of cost.
- The way these solutions have been curated will increase your interest in studying this chapter in detail and be ready to solve more problems.
- These solutions are given in very easy terminologies so that you learn the maximum out of everything given here.