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Let ln⁡x\ln x denote natural log. Let S⊂RS\subset\mathbb R be all points where ln⁡(x2−1)\ln(x^2-1) is well-defined. Number of differentiable functions f:S→Rf:S\to\mathbb R with f′(x)=ln⁡(x2−1)f'(x)=\ln(x^2-1) for x∈Sx\in S and f(2)=0f(2)=0 is
Integral Calculus - Medium - Question