RD Sharma Solutions For Class 12 Maths Differentiation Exercise 11.8

This exercise can be used as a model of reference by the students to improve their conceptual knowledge and understand the different ways used to solve the problems. Differentiation of a function with respect to another function is the main concept covered under this exercise. These solutions are formulated by BYJU’S experts in Maths to increase students confidence, which plays a crucial role in their board exams. The PDF of RD Sharma Solutions for Class 12 Maths Chapter 11 Exercise 11.8 can be easily viewed and downloaded from the given links.

RD Sharma Solutions For Class 12 Chapter 11 Exercise 11.8:-Download PDF Here

RD Sharma Class 12 Maths Solutions Chapter 11 Differentiation Exercise 11.8
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Access other exercises of RD Sharma Solutions For Class 12 Chapter 11 – Differentiation

Exercise 11.1 Solutions

Exercise 11.2 Solutions

Exercise 11.3 Solutions

Exercise 11.4 Solutions

Exercise 11.5 Solutions

Exercise 11.6 Solutions

Exercise 11.7 Solutions

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 – Differentiation Exercise 11.8

Exercise 11.8 Page No: 11.112

1. Differentiate x2 with respect to x3.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 362

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 363

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 364

2. Differentiate log (1 +x2) with respect to tan-1 x.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 365

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3. Differentiate (log x)x with respect to log x.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 368

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 369

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 370

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 371

4. Differentiate sin-1 √ (1-x2) with respect to cos-1x, if

(i) x ∈ (0, 1)

(ii) x ∈ (-1, 0)

Solution:

(i) Given sin-1 √ (1-x2)

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 372

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 373

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 374

(ii) Given sin-1 √ (1-x2)

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 375

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 376

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 380

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 381

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 382

Solution:

(i) Let

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 388

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 389

(ii) Let

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(iii) Let

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 400

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 401

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 409

(i) x ∈ (0, 1/ √2)

(ii) x ∈ (1/√2, 1)

Solution:

(i) Let

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 410

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 412

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(ii) Let

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 420

8. Differentiate (cos x)sin x with respect to (sin x)cos x.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 421

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 422

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 423

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 426

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 427

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 433

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 434

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 435

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 436

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 437

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