CBSE Class 12 Continuity and Differentiability Multiple Choice Questions with Answers. MCQ Questions Class 12 Continuity and Differentiability with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Continuity and Differentiability with Answers to know their preparation level.
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MCQ Questions Class 12 Continuity and Differentiability with Answers - Set - 5
Question 1:
If sin y + e-xcos y = e, then dy/dx at (1, π) is equal to
(a) sin y
(b) -x cos y
(c) e
(d) sin y – x cos y
Correct Answer – (A)
Question 2:
If y = e3x+n, then the value of dy/dx|x=0 is
(a) 1
(b) 0
(c) -1
(d) 3e7
Correct Answer – (D)
Question 3:
If xmyn = (x + y)m+n, then dy/dx is equal to
(a) (x+y)/xy
(b) xy
(c) x/y
(d) y/x
Correct Answer – (D)
Question 4:
If f(x) = 5x /((1−x)2/3) + cos² (2x + 1), then f'(0) =
(a) 5 + 2 sin 2x
(b) 5 + 2 cos 2x
(c) 5 – 2 sin 2x
(d) 5 – 2 cos 2x
Correct Answer – (C)
Question 5:
If x sin (a + y) = sin y, then dy/dx is equal to
(a) (sin2 (a + y))/sin a
(b) sin a/(sin2 (a + y))
(c) (sin (a + y))/sin a
(d) sin a / (sin (a + y))
Correct Answer – (A)
MCQ Questions Class 12 Continuity and Differentiability With Answers
Question 6:
If y = aex+ be-x + c Where a, b, c are parameters, they y’ is equal to
(a) aex – be-x
(b) aex + be-x
(c) -(aex + be-x)
(d) aex – bex
Correct Answer – (A)
Question 7:
If sec (x−y)/(x+y) = a then dy/dx is
(a) –y/x
(b) x/y
(c) –x/y
(d) y/x
Correct Answer – (D)
Question 8:
Differential coefficient of √sec√x is
(a) 1/(4√x) = sec √x sin √x
(b) 1/(4√x) = (sec√x)3/2 sin√x
(c) 1/(2√x) sec√x sin √x.
(d) 1/(2√x) (sec√x)3/2 sin√x
Correct Answer – (B)
Question 9:
If y = (1 + x) (1 + x²) (1 + x4) …….. (1 + x2n), then the value of dy/dx at x = 0 is
(a) 0
(b) -1
(c) 1
(d) None of these
Correct Answer – (C)
Question 10:
If y = ax² + b, then dy/dx at x = 2 is equal to ax
(a) 4a
(b) 3a
(c) 2a
(d) None of these
Correct Answer – (A)
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