Let f:\mathbb{R}\to\mathbb{R} and g:\mathbb{R}\to\mathbb{R} be respectively given by f(x)=|x|+1 and g(x)=x^2+1.Define h:\mathbb{R}\to\mathbb{R} by h(x)=\\begin{array}{ccc}\text{\max} & \{f(x) & g(x)\\end{array},\text{if},x\leq0;\text{\min}, \{f(x),g(x)\},\text{if}, x > 0 Then number of points at which h(x) is not differentiable is _________ [JEE Adv 2014 P1]

Limits, Continuity and Differentiability

Section: Mathematics

Question : 39 of 51

Marks: +1, -0

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 _________

[JEE Adv 2014 P1]

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