NCERT Class 12-Mathematics: Chapter – 5 Continuity and Differentiability Part 30 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Fill in the Blanks in Each of the Exercises 97 to 101

Question 97:

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is ________ .


Question 98:

Derivative of w. r. t. is ________.


Question 99:

If , then = ________ .


Question 100:

If , then ________.


Question 101:

For the curve , is ________.


State True or False for the Statements in Each of the Exercises 102 to 106

Question 102:

Rolle՚s theorem is applicable for the function .

Answer: False

Question 103:

If is continuous on its domain D, then is also continuous on D.

Answer: True

Question 104:

The composition of two continuous function is a continuous function.

Answer: True

Question 105:

Trigonometric and inverse trigonometric functions are differentiable in their respective domain.

Answer: True

Question 106:

If is continuous at , then and are separately continuous at .

Answer: False

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