NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 27 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 80:

If prove that

(i) and

(ii)

Answer:

(i)

We have,

Taking log on both sides, we get

fferentiating both sides , we get

Hence proved.

(ii)

We have,

Differentiating both sides we get

Hence proved.

Question 81:

If and , prove that

Answer:

We have,

Again, differentiating both sides , we get

Since, we have to prove