NCERT Class 11-Math՚S: Chapter – 13 Limits and Derivatives Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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