RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives

RD Sharma Solutions for Class 12 Maths Chapter 12 – Free PDF Download Updated for 2023-24

RD Sharma Solutions for Class 12 Maths Chapter 12 – Higher Order Derivatives are primarily designed for CBSE Class 12 students and are based on the latest syllabus prescribed, as per the CCE guidelines by the CBSE Board. Students are required to thoroughly go through RD Sharma Solutions while solving problems from the RD Sharma textbook before the board exams to score well and intensify their problem-solving abilities. These solutions are prepared by experts in Maths at BYJU’S to provide exercise-wise solutions in a precise manner. 

RD Sharma Solutions also include tips and tricks to solve difficult problems quickly and with much confidence. By practising RD Sharma Solutions for Class 12 regularly, students will be thorough with the concepts provided in the Class 12 RD Sharma textbook. Students can access RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives from the below provided links. This chapter mainly focuses on relations involving various order relations of cartesian functions.

RD Sharma Solutions Class 12 Maths Chapter 12 Higher Order Derivatives:

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Access answers to Maths RD Sharma Solutions For Class 12 Chapter 12 – Higher Order Derivatives

Exercise 12.1 Page No: 12.17

1. Find the second order derivatives of the each of the following functions:

(i) x³ + tan x

Solution:

(ii) Sin (log x)

Solution:

(iii) Log (sin x)

Solution:

(iv) e^x sin 5x

Solution:

(v) e^6x cos 3x

Solution:

Let, y = e^6x cos 3x

(vi) x³ log x

Solution:

(vii) tan^-1x

Solution:

(viii) x cos x

Solution:

(ix) Log (log x)

Solution:

Solution:

Hence proved.

Solution:

Given y = x + tan x

Solution:

Solution:

Hence proved.

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Hence proved.

Solution:

Solution:

Solution:

Solution:

Solution:

RD Sharma Class 12 Maths Solutions Chapter 12 Higher Order Derivatives

Some of the essential topics of this chapter are listed below:

• Definition of higher-order derivatives.
• Notations of higher-order derivatives.
• Proving relations involving various order derivatives of cartesian functions.
• Finding second-order derivatives of parametric functions.
• Proving relations involving various order derivatives of parametric functions.
• Proving relations involving various order derivatives.