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f:[0,2pi]rarr[-1,1] and g:[0,2pi]rarr[-1...

`f:[0,2pi]rarr[-1,1]` and `g:[0,2pi]rarr[-1,1]` be respectively given by `f(x)=sin` and `g(x)=cosx`.
Define `h:[0,2pi]rarr[-1,1]` by `h(x)={("max"{f(x),g(x)} "if"0lexlepi),("min"{f(x),g(x)} "if" piltxle2pi):}` number of points at which `h(x)` is not differentiable is

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The correct Answer is:
3

`h(x)={(cosx, 0lexle(pi)/4),(sinx, (pi)/4ltxlepi),(cosx,piltxle(5pi)/4),(sinx, (5pi)/4ltxle2pi):}`
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