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,

= 

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

= 10^x 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,

= 

= 

= 

= nx^n-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,

= 

=