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