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

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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,