# 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 ________ .

**Answer**:

**Question 98**:

Derivative of w. r. t. is ________.

**Answer**:

**Question 99**:

If , then = ________ .

**Answer**:

**Question 100**:

If , then ________.

**Answer**:

**Question 101**:

For the curve , is ________.

**Answer**:

### 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**