NCERT Class 12-Mathematics: Chapter –5 Continuity and Differentiability Part 28

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Question 82:

Find .

Answer:

We have,

Putting

Taking log on both sides, we get

Differentiating we get

Now,

Differentiating , we get

Now,

On substituting the values of from (i) and (ii), we get

Objective Type Questions

Choose the Correct Answers from the Given Four Options in Each of the Exercises 83 to 96

Question 83:

If and . then which of the following can be a discontinuous function

(A)

(B)

(C)

(D)

Answer: (D)

Question 84:

The function is

(A) Discontinuous at only one point

(B) Discontinuous at exactly two points

(C) Discontinuous at exactly three points

(D) None of these

Answer: (C)

Question 85:

The of points where the function given by is differentiable is

(A)

(B)

(C)

(D) None of these

Answer: (B)

Question 86:

The function is discontinuous on the set

(A)

(B)

(C)

(D)

Answer: (A)

Question 87:

The function is

(A) Continuous everywhere but not differentiable at

(B) Continuous and differentiable everywhere

(C) Not continuous at

(D) None of these.

Answer: (A)

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