# NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 19 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 62**:

If , prove that

**Answer**:

.

Hence Proved

**Question 63**:

If , prove that .

**Answer**

We have,

On putting and , we get

On differentiating both sides we get

Hence proved

**Question 64**:

If in terms of alone.

**Answer**:

Given:

On differentiating Eq. (i) with respect to x, we get

Now, again differentiating the above with respect to , we get