NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 28 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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)