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

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. x^1/x

Solution:

2. x^{sin x}

Solution:

3. (1 + cos x)^x

Solution:

Solution:

5. (log x)^x

Solution:

6. (log x)^{cos x}

Solution:

Let y = (log x)^{cos x}

Taking log both the sides, we get

7. (Sin x)^{cos x}

Solution:

8. e^{x log x}

Solution:

9. (Sin x)^{log x}

Solution:

10. 10^{log sin x}

Solution:

11. (log x)^{log x}

Solution:

Solution:

13. Sin (x^x)

Solution:

14. (Sin^-1 x)^x

Solution:

Solution:

16. (tan x)^1/x

Solution:

Solution:

18. (i) (x^x) √x

Solution:

Solution:

Solution:

Solution:

Solution:

18. (vi) e^{sin x} + (tan x)^x

Solution:

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

Solution:

Solution:

19. y = e^x + 10^x + x^x

Solution:

20. y = xⁿ + n^x + x^x + nⁿ

Solution: