# NCERT Class 12-Mathematics: Chapter – 6 Application of Derivatives Part 23 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 54**:

The function , has

(A) Two points of local maximum

(B) Two points of local minimum

(C) One maxima and one minima

(D) No maxima or minima

**Answer: (C)**

**Question 55**:

The maximum value of is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 56**:

At is:

(A) Maximum

(B) Minimum

(C) Zero

(D) Neither maximum nor minimum.

**Answer: (A)**

**Question 57**:

Maximum slope of the curve is:

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 58**:

has a stationary point at

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 59**:

The maximum value of is:

(A)

(B)

(C)

(D)

**Answer: (B)**

## Fill in the Blanks in Each of the Following Exercises 60 to 64

**Question 60**:

The curves and touch each other at the point________.

**Answer**:

**Question 61**:

The equation of normal to the curve is ________.

**Answer**:

**Question 62**:

The values of for which the function increases on are ________.

**Answer**:

**Question 63**:

The function , , decreases in the interval ________.

**Answer**:

**Question 64**:

The least value of the function is ________.

**Answer**: