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Limits Continuity and Differentiability question

2014 · Shift 1 · Q40

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JEE Advanced
Mathematics
Limits Continuity and Differentiability
2014 · Shift 1 · Q40

Limits Continuity and Differentiability question

2014 · Shift 1 · Q40

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1

Let f : R

\to

R and g : R

\to

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

\to

R by

h(x) = \left\{ {\begin{matrix} {\max \{ f(x),g(x)\} ,} & {if\,x \le 0.} \\ {\min \{ f(x),g(x)\} ,} & {if\,x \gt 0.} \\ \end{matrix} } \right.

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

Numerical answer

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