CBSE Class 12 Application of Derivatives Multiple Choice Questions with Answers. MCQ Questions Class 12 Application of Derivatives with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Application of Derivatives with Answers to know their preparation level.
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MCQ Questions Class 12 Application of Derivatives with Answers - Set - 2
Question 1:
The function f(x) = 2x³ – 3x² – 12x + 4 has
(a) two points of local maximum
(b) two points of local minimum
(c) one maxima and one minima
(d) no maxima or minima
Correct Answer – (C)
Question 2:
If x is real, the minimum value of x² – 8x + 17 is
(a) -1
(b) 0
(c) 1
(d) 2
Correct Answer – (D)
Question 3:
Which of the following functions is decreasing on(0, π/2)?
(a) sin 2x
(b) tan x
(c) cos x
(d) cos 3x
Correct Answer – (C)
Question 4:
y = x (x – 3)² decreases for the values of x given by
(a) 1 < x < 3
(b) x < 0
(c) x > 0
(d) 0 < x <3/2
Correct Answer – (A)
Question 5:
The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is
(a) [-1, ∞]
(b) [-2, -1]
(c) [-∞, -2]
(d) [-1, 1]
Correct Answer – (B)
MCQ Questions Class 12 Application of Derivatives With Answers
Question 6:
The smallest value of the polynomial x³ – 18x² + 96x in [0, 9] is
(a) 126
(b) 0
(c) 135
(d) 160
Correct Answer – (B)
Question 7:
The function f(x) = tan x – x
(a) always increases
(b) always decreases
(c) sometimes increases and sometimes decreases
(d) never increases
Correct Answer – (A)
Question 8:
The function f(x) = 4 sin³ x – 6 sin²x + 12 sin x + 100 is strictly
(a) increasing in (π, 3π/2)
(b) decreasing in (π/2, π)
(c) decreasing in [−π/2,π/2]
(d) decreasing in [0, π/2]
Correct Answer – (C)
Question 9:
Let the f: R → R be defined by f (x) = 2x + cos x, then f
(a) has a minimum at x = 3t
(b) has a maximum, at x = 0
(c) is a decreasing function
(d) is an increasing function
Correct Answer – (D)
Question 10:
The two curves; x³ – 3xy² + 2 = 0 and 3x²y – y³ – 2 = 0 intersect at an angle of
(a) π/4
(b) π/3
(c) π/2
(d) π/6
Correct Answer – (A)
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