# NCERT Class 12-Mathematics: Chapter –6 Application of Derivatives Part 23

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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:**