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Let f(x)=e^(x),g(x)={:{(x^(2),if,xlt(1)/...

Let `f(x)=e^(x),g(x)={:{(x^(2),if,xlt(1)/(2)),(x-(1)/(4),if,xge(1)/(2)):}` and `h(x)=f(g(x))`. The derivative of `h(x)` and `x=(1)/(2)` is `e^((1)/(a))` then a equal to

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