# NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 15 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 47**:

**Answer**:

**Question 48**:

**Answer**:

**Question 49**:

If

**Answer**:

Now ,

Taking on both sides to get,

For

Taking log on both sides we get,

Differentiating ,

**Question 50**:

If t

**Answer**:

And

Hence proved.

**Question 51**:

If , , find at .

**Answer**