RD Sharma Solutions For Class 12 Maths Exercise 11.5 Chapter 11 Differentiation

Logarithmic differentiation is the main topic covered under this exercise. The logarithmic function is an inverse of an exponential function. This exercise explains how to differentiate the given logarithmic function and algorithm including in logarithmic differentiation. The set of experts at BYJU’S conduct vast research on each topic before designing the solutions as per prescribed syllabus of the CBSE board. To know more about these topics students can refer to RD Sharma solutions for Class 12 Maths Exercise 11.5 of Chapter 11 Differentiation.

RD Sharma Solutions For Class 12 Differentiation Exercise 11.5:-Download PDF

RD Sharma Class 12 Maths Solutions Chapter 11 Differentiation Exercise 11.5
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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 11.6 Solutions

Exercise 11.7 Solutions

Exercise 11.8 Solutions

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 – Differentiation Exercise 11.5

Exercise 11.5 Page No: 11.88

Differentiate the following functions with respect to x:

1. x1/x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 227

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 228

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 229

2. xsin x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 230

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 231

3. (1 + cos x)x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 232

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 233

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 234

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 235

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 236

5. (log x)x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 237

6. (log x)cos x

Solution:

Let y = (log x)cos x

Taking log both the sides, we get

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 238

7. (Sin x)cos x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 239

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 240

8. ex log x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 241

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 242

9. (Sin x)log x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 243

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 244

10. 10log sin x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 245

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 246

11. (log x)log x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 247

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 248

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 249

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 250

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 251

13. Sin (xx)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 252

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 253

14. (Sin-1 x)x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 254

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 255

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 256

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 257

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 258

16. (tan x)1/x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 259

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 260

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 261

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 262

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 263

18. (i) (xx) √x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 264

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 265

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 266

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 267

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 268

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 269

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 270

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 271

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 272

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 273

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 274

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 275

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 276

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 277

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 278

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 279

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 280

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 281

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 282

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 283

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 284

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 285

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 286

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 287

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 288

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 289

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 290

18. (vi) esin x + (tan x)x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 291

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 292

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 293

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 294

18. (vii) (cos x)x + (sin x)1/x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 295

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 296

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 297

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 298

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 299

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 300

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 301

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 301

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 302

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 303

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 304

19. y = ex + 10x + xx

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 305

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 306

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 307

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 308

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 309

20. y = xn + nx + xx + nn

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 310

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 311

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 312

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 313

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 314

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