NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for CBSE/Class-12 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

Question 32:

Differential coefficient of is

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

Question 33:

If is

(A)

(B)

(C)

(D)

Answer:

(D) Is the correct answer.

Question 34:

The value of c in Rolle՚s Theorem for the function is

(A)

(B)

(C)

(D)

Answer:

(D) Is the correct answer.

Question 35:

The value of in Mean value theorem for the function is

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

Question 36:

Match the following

Match the Following Column
(A)If a function is continuous at , then is(a)
(B)Every continuous function is differentiable(b)True
(C)An example of a function which is continuous everywhere but not differentiable at exactly one point(c)
(D)The identity function i.e.. is a continuous function(d)False

Answer:

Fill in the Blanks in Each of the Examples 37 to 41

Question 37:

The number of points at which the function is discontinuous is ________.

Answer:

The given function is discontinuous at and hence the number of points of discontinuity is .

Question 38:

If is continuous, then should be equal to ________.

Answer:

Question 39:

The derivative of is ________.

Answer:

.

Question 40:

If , then is equal to ________.

Answer:

Question 41:

The derivative of is ________.

Answer:

Developed by: