# NCERT Class 12-Mathematics: Chapter –5 Continuity and Differentiability Part 15

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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**