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Mathematics Part I - Continuity and Differentiability Quiz
Class XII
Mathematics
Continuity and Differentiability
13 questions
HARD
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Preview questions
1. Which of the following functions is continuous everywhere?
f(x) = 1/x · f(x) = x^2 · f(x) = sin(x)/x · f(x) = log(x)
2. The derivative of a constant function is:
0 · 1 · undefined · constant
3. If f(x) is continuous at x = a, then which of the following must be true?
f(a) = L · f(a) = f'(a) · f(a) = lim x->a f(x) · f(a) exists
4. Which of the following conditions is NOT necessary for differentiability at a point?
Continuity at that point · Existence of the derivative · Left-hand derivative equals right-hand derivative · Function is polynomial
5. If f(x) is differentiable at x = c, then f(x) is:
always continuous at c · not continuous at c · only continuous at c · discontinuous at c
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