Continuity and Differentiability - 1 - JEE MCQ
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30 Questions MCQ Test - Continuity and Differentiability - 1
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Continuity and Differentiability - 1 - Question 1
Which one of the following is not true always?
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Continuity and Differentiability - 1 - Question 2
Which of the following functions defined below are NOT differentiable at the indicated point?
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Continuity and Differentiability - 1 - Question 5
Let f(x) = [n + p sin x], x ∈ (0, π), n ∈ Z, p is a prime number and [x] is greatest integer less than or equal to x. The number of points at which f(x) is not differentiable is
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Continuity and Differentiability - 1 - Question 11
If f (x) = | 1 – x |, then the number of points where g (x) = sin–1(f (| x|)) is non-differentiable, are
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Continuity and Differentiability - 1 - Question 13
If f: R → R be a differentiable function, such that f(x + 2y) = f(x) + f(2y) + 4xy ∀ x, y ∈ R. then
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Continuity and Differentiability - 1 - Question 15
Which one of the following function is differentiable at x = 0?
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Continuity and Differentiability - 1 - Question 19
The function ƒ(x) = [x]2 – [x2] (where [y] is the greatest integer less than or equal to y), is discontinuous at -
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Continuity and Differentiability - 1 - Question 30
Which one of the following function is discontinuous for atleast one real value of x?
[Note : sgn x denotes signum function of x.]
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