# NCERT Class 12-Mathematics: Chapter –5 Continuity and Differentiability Part 4

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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,