# NCERT Class 11-Math՚s: Chapter – 13 Limits and Derivatives Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 2**:

Evaluate

**Answer**:

Put so that when . Then

**Question 3**:

Find the positive integer so that

**Answer**:

We have

Therefore,

Comparing, we get

**Question 4**:

Evaluate

**Answer**:

Put Then as . Therefore

**Question 5**:

Evaluate

**Answer**:

(i) We have

**Question 6**:

Find the derivative of , where and are non-zero constants, by first principle.

**Answer**:

By definition,

**Question 7**:

Find the derivative of , where and are none-zero constant, by first principle.

**Answer**:

By definition

**Question 8**:

Find the derivative of , by first principle.

**Answer**:

By definition,