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JEE Advanced 2014 Paper 1

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Question : 53

Total: 60

Let f:ℝ→ℝ and g:ℝ→ℝ be respectively given by f(x)=|x|+1 and g(x)=x2+1.Define h:ℝ→ℝ by
h(x)={

max	{f(x),g(x)}	if	x≤0
min	{f(x),g(x)}	if	x>0

Then number of points at which h(x) is not differentiable is _________

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