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: