NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 10:

Find

Answer:

Put

Therefore,

Hence,

Question 11:

If

Answer:

We have

Put

Therefore,

Thus

Differentiating , We get

Question 12:

If

Answer:

We have

And

Thus

Hence .

Question 13:

If prove that

Answer:

We have Taking logarithm on both sides, we get

Differentiating both sides , we get

Question 14:

If , prove that

Answer:

We have . Differentiating , we get

Thus

Now, differentiating again , we get

Question 15:

If find

Answer:

When .

Hence,

Question 16:

If , find

Answer:

When

Hence,