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Question
If $$f(x) = \left\{ {\matrix{ {{1 \over {|x|}}} & {;\,|x|\, \ge 1} \cr {a{x^2} + b} & {;\,|x|\, < 1} \cr } } \right.$$ is differentiable at every point of the domain, then the values of a and b are respectively :
${1 \over 2},{1 \over 2}$
${1 \over 2}, - {3 \over 2}$
${5 \over 2}, - {3 \over 2}$
$ - {1 \over 2},{3 \over 2}$

Solution

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