RD Sharma Class 12 Solutions Chapter 11 Exercise 11.4 (Updated for 2024)

RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4

RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4 is provided in this article. The chain rule is used in calculus to differentiate implicitly defined functions using a method known as implicit differentiation. Students will learn how to use the chain rule to differentiate the supplied implicit function by practising this exercise. Students can get a free PDF of RD Sharma Solutions Class 12 Maths Chapter 11 Differentiation Exercise 11.4 here.

Download RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4 Free PDF

 


RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4

Students can use the PDF of RD Sharma Class 12 Solutions as a primary study material to improve their speed and accuracy while solving questions. These solutions have been created by Kopykitab’s expert faculty to provide the best study material for students who want to do well on their upcoming board exams.

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 – Differentiation Exercise 11.4 Important Questions With Solution

Exercise 11.4 Page No: 11.74

Find dy/dx in each of the following:

1. xy = c2

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 196

2. y3 – 3xy2 = x3 + 3x2y

Solution:

Given y3 – 3xy2 = x3 + 3x2y,

Now we have to find dy/dx of given equation, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 197

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 198

3. x2/3 + y2/3 = a2/3

Solution:

Given x2/3 + y2/3 = a2/3,

Now we have to find dy/dx of given equation, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 199

4. 4x + 3y = log (4x – 3y)

Solution:

Given 4x + 3y = log (4x – 3y),

Now we have to find dy/dx of it, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 200

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 201

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 202

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 203

6. x5 + y5 = 5xy

Solution:

Given x5 + y5 = 5xy

Now we have to find dy/dx of given equation, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 204

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 205

7. (x + y)2 = 2axy

Solution:

Given (x + y)2 = 2axy

Now we have to find dy/dx of given equation, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 206

8. (x2 + y2)2 = xy

Solution:

Given (x + y)2 = 2axy

Now we have to find dy/dx of given equation, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 207

9. Tan-1 (x2 + y2)

Solution:

Given tan – 1(x2 + y2) = a,

Now we have to find dy/dx of given function, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 208

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 209

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 210

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 211

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 212

11. Sin xy + cos (x + y) = 1

Solution:

Given Sin x y + cos (x + y) = 1

Now we have to find dy/dx of given function, so by differentiating the equation on both sides with respect to x, we get,

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 213

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 214

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 215

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 216

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 217

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 218

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 219

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 220

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 221

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 222

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 223

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 224

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 225

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 226

RD Sharma Solutions for Class 12 Maths Chapter 11 Exercise 11.4 are immensely helpful while doing your homework and also while preparing for CBSE finals. If you have any queries, feel free to ask us in the comment section below.

FAQs on RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4

How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4?

There are a total of 11 questions in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.4.

Where can I find the correct RD Sharma Class 12 Maths Chapter 11 Solutions Exercise 11.4?

Kopykitab’s official website for RD Sharma Class 12 Solutions Chapter 11 Exercise 11.4 provides a comprehensive selection of study materials such as textbooks, reference books, and other resources for students and teachers. The solutions are carefully designed to ensure that students grasp the concepts and perform well on their board exams.

Where can I get RD Sharma Class 12 Maths Solutions Chapter 11 Exercise 11.4 Free PDF?

You can get RD Sharma Solutions for Class 12 Maths Chapter 11 Exercise 11.4 Free PDF from the above article.

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