# 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,

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**Question 17. **

**Solution:**

By using quotient rule, we get,

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= 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,

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**Question 19. **

**Solution:**

By using quotient rule, we get,

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**Question 20. **

**Solution:**

By using quotient rule, we get,

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**Question 21. **** **

**Solution:**

By using quotient rule, we get,

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**Question 22. **

**Solution:**

By using quotient rule, we get,

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**Question 23. **

**Solution:**

By using quotient rule, we get,

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**Question 24. **

**Solution:**

By using quotient rule, we get,

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**Question 25. **

**Solution:**

By using quotient rule, we get,

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**Question 26. **

**Solution:**

By using quotient rule, we get,

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**Question 27. **

**Solution:**

By using quotient rule, we get,

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**Question 28. **

**Solution:**

By using quotient rule, we get,

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= nx

^{n-1 }cosec x − x^{n }cot x cosec x

**Question 29. **

**Solution:**

By using quotient rule, we get,

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**Question 30. **

**Solution:**

By using quotient rule, we get,

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