Exercise 11.5 Page No: 11 · RD Sharma Solutions for Class 12 Maths Chapter 11 Differentiation Exercise 11.5 Page No: 11.88 Differentiate the following functions with respect to x:

RD Sharma Solutions for Class 12 Maths Chapter 11

Differentiation

Exercise 11.5 Page No: 11.88 Differentiate the following functions with respect to x: 1. x1/x Solution:

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Differentiation

2. xsin x Solution:




Differentiation

3. (1 + cos x)x Solution:




Differentiation

Solution:

5. (log x)x




Differentiation

Solution:

6. (log x)cos x Solution: Let y = (log x)cos x Taking log both the sides, we get




Differentiation

7. (Sin x)cos x Solution:




Differentiation

8. ex log x Solution:




Differentiation

9. (Sin x)log x Solution:




Differentiation

10. 10log sin x Solution:




Differentiation

11. (log x)log x Solution:




Differentiation

Solution:




Differentiation

13. Sin (xx) Solution:




Differentiation

14. (Sin-1 x)x Solution:




Differentiation

Solution:




Differentiation

16. (tan x)1/x Solution:




Differentiation

Solution:




Differentiation

18. (i) (xx) √x Solution:




Differentiation

Solution:




Differentiation




Differentiation




Differentiation

Solution:




Differentiation




Differentiation

Solution:




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Differentiation

Solution:




Differentiation




Differentiation




Differentiation

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




Differentiation




Differentiation

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




Differentiation




Differentiation




Differentiation

Solution:




Differentiation




Differentiation

19. y = ex + 10x + xx Solution:




Differentiation




Differentiation

20. y = xn + nx + xx + nn Solution:




Differentiation




Differentiation




Differentiation



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Exercise 11.5 Page No: 11 · RD Sharma Solutions for Class 12 Maths Chapter 11 Differentiation Exercise 11.5 Page No: 11.88 Differentiate the following functions with respect to x: