Class 11 RD Sharma Solutions – Chapter 30 Derivatives – Exercise 30.5 | Set 2

Differentiate the following functions with respect to x:

Question 16. 

Solution:

By using quotient rule, we get,

Question 17. 

Solution:

By using quotient rule, we get,

= 10x cosec x log 10 − 10x cosec x cot x

= 10x cosec x (log 10 − cot x)

Question 18. 

Solution:

By using quotient rule, we get,

Question 19. 

Solution:

By using quotient rule, we get,

Question 20. 

Solution:

By using quotient rule, we get,

Question 21.  

Solution:

By using quotient rule, we get,

Question 22. 

Solution:

By using quotient rule, we get,

Question 23. 

Solution:

By using quotient rule, we get,

Question 24. 

Solution:

By using quotient rule, we get,

Question 25. 

Solution:

By using quotient rule, we get,

Question 26. 

Solution:

By using quotient rule, we get,

Question 27. 

Solution:

By using quotient rule, we get,

Question 28. 

Solution:

By using quotient rule, we get,

= nxn-1 cosec x − xn cot x cosec x

Question 29. 

Solution:

By using quotient rule, we get,

Question 30. 

Solution:

By using quotient rule, we get,



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