# NCERT Class 12-Mathematics: Chapter-5 Continuity and Differentiability Part 16 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 52**:

Differentiate

**Answer**:

Let us Assume,

Now, differentiate

And,

Now,

**Question 53**:

Differentiate

**Answer**:

We have

Let us Assume,

And, put

So,

Substitute the value of , we get

Now, differentiate

Now, for

Differentiate

Now, for , from equation (i) and (ii)

Hence,

## Find Dy/Dx when X and Y Are Connected by the Relation Given in Each of the Exercises 54 to 57

**Question 54**:

**Answer**:

We have,

On differentiating both sides , we get