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 - 4
Question 1:
The function f(x) = x + cos x is
(a) always increasing
(b) always decreasing
(c) increasing for certain range of x
(d) None of these
Correct Answer – (A)
Question 2:
Function, f (x) = (λsinx+6cosx)/(2sinx+3cosx) is monotonic increasing, if
(a) λ > 1
(b) λ < 1
(c) λ < 4
(d) λ > 4
Correct Answer – (D)
Question 3:
If f (x) = x³ – 6x² + 9x + 3 be a decreasing function, then x lies in
(a) (-∞, -1) ∩ (3, ∞)
(b) (1, 3)
(c) (3, ∞)
(d) None of these
Correct Answer – (B)
Question 4:
The function f(x) = x/logx increases on the interval
(a) (0, ∞)
(b) (0, e)
(c) (e, ∞)
(d) None of these
Correct Answer – (C)
Question 5:
If f (x) = x/sinx and g (x) = x/tanx, 0 < x ≤ 1, then in the interval
(a) both f (x) and g (x) are increasing functions
(b) both f (x) and g (x) are decreasing functions
(c) f(x) is an increasing function
(d) g (x) is an increasing function
Correct Answer – (C)
MCQ Questions Class 12 Application of Derivatives With Answers
Question 6:
2x³ – 6x + 5 is an increasing function, if
(a) 0 < x < 1
(b) -1 < x < 1
(c) x < -1 or x > 1
(d) -1 < x < –1/2
Correct Answer – (C)
Question 7:
The function f (x) = 1 – x³ – x5 is decreasing for
(a) 1 < x < 5
(b) x < 1
(c) x > 1
(d) all values of x
Correct Answer – (D)
Question 8:
The value of b for which the function f (x) = sin x – bx + c is decreasing for x ∈ R is given by
(a) b < 1
(b) b ≥ 1
(c) b > 1
(d) b ≤ 1
Correct Answer – (C)
Question 9:
The function f(x) = cot-1 x + x increases in the interval
(a) (1, ∞)
(b) (-1, ∞)
(c) (0, ∞)
(d) (-∞, ∞)
Correct Answer – (D)
Question 10:
f(x) = (e2x – 1)/(e2x + 1) is
(a) an increasing function
(b) a decreasing function
(c) an even function
(d) None of these
Correct Answer – (A)
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