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If the function f(x)={{:(ax+b, -ooltxle2),(x^(2)-5x+6,2ltxlt3),(px^(2)+qx+1,3lexleoo):} is differentiable in (-oo,oo), then : |
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Answer» `a=-1,p=-(4)/(9)` Continuouns at `x=2implies2a+b=0` Continuous at x=3 `0=9p+3q+1` Differntiable at x=2 `a=2xx2-5impliesa=-1` Differentiable at x=3 `2xx3-5=2pxx3+qimplies6p+q=1` `a=-1,b=2,p=(4)/(9),q=-(5)/(3)` |
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