Differentiation

Section: Mathematics
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Question : 9 of 9
 
Marks: +1, -0
Consider the functions defined implicitly by the equation y3 − 3y + x = 0 on various intervals in the real line. If x ∈ (-∞, -2) ∪ (2, ∞), the equation implicitly defines a unique real valued differentiable function y = f(x).

If x ∈(-2, 2), the equation implicitly defines a unique real valued differentiable function y = g(x) satisfying g(0) = 0.
If f (-10 2) = 2 2, then f ′′(-10 2) = ??
[JEE Adv 2008 P1]
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