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: