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A point where function ƒ(x) is not continuous where ƒ(x) = [sin [x]] in (0, 2π) [.] denotes greatest integer ≤ x is 
The number of values of a for the which the function f(x) = (x + 1)  x – a  is differentiable ∀ x ∈ R, is
If f '(x) = g(x) and g'(x) = –f(x) for all x and f(2) = 4 = f '(2). Then the value of f^{2}(4) + g^{2}(4) is
The number of values of a for the which the function f(x) = (x + 1)  x – a  is differentiable ∀ x ∈ R, is
The function f(x) = (x^{2} – 1)  x^{2} – 3x + 2  + cos ( x ) is not differentiable at
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209 videos443 docs143 tests
