f(x)={[(x)/(2)+1,xge(pi)/(2)],[(x)/(2)si...

`f(x)={[(x)/(2)+1,xge(pi)/(2)],[(x)/(2)sin x+a,xlt(pi)/(2)]}`. Let `f:R rarr R` and if f is differentiable every where then number of values of a equals

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