# NCERT Class 11-Math's: Chapter –13 Limits and Derivatives Part 2

Get top class preparation for CBSE/Class-6 Social-Sciences right from your home: fully solved questions with step-by-step explanation- practice your way to success.

**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,