NCERT Class 11-Math's: Chapter –13 Limits and Derivatives Part 3
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Question 9:
Find the derivative of by first principle.
Answer:
By definition
Question 10:
Find the derivative of , by first principle.
Answer:
By definition
Using Binomial theorem, we have
Thus,
Question 12:
Find the derivative of .
Answer:
Let
Differentiating both sides with respect to x, we get
Therefore,
Question 13:
Find the derivative of
Answer:
Let
Differentiating both sides with respect to x, we get
Long Answer Type
Question 14:
Evaluate
Answer:
Note that
Therefore,
Question 15:
Evaluate
Answer:
We have
Question 16:
Evaluate
Answer:
We have