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

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Question 32:

Differential coefficient of is

(A)

(B)

(C)

(D)

Question 33:

If is

(A)

(B)

(C)

(D)

Question 34:

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

(A)

(B)

(C)

(D)

Question 35:

The value of in Mean value theorem for the function is

(A)

(B)

(C)

(D)

Question 36:

Match the following

 (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

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 ________.

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 ________.

Question 39:

The derivative of is ________.

.

Question 40:

If , then is equal to ________.