# NCERT Class 11-Math's: Chapter –13 Limits and Derivatives Part 9

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## Long Answer Type

### Differentiate Each of the Functions with Respect to ‘X’ in Exercises 43 to 46 Using First Principle

**Question 43:**

**Answer:**

Let

Subtracting eq. (i) from eq. (ii),

Dividing both sides by

As per the definition of differentiations,

Taking limits,

As

Hence, the required answer is

**Question 44:**

**Answer:**

Let

Dividing both sides by and taking the limit,

Using differentiation,

Taking limits, we have