If f (x) = $left[ begin{gathered} {x^2},,,,,,,,,,,,if,,,,x ≤slant ,{x_0} hfill

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1.Relation and Function

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If $f (x) =$ $\left[ \begin{gathered} {x^2}\,\,\,\,\,\,\,\,\,\,\,\,if\,\,\,\,x \leqslant \,{x_0} \hfill \\ ax + b\,\,\,\,\,if\,\,\,\,x\, > \,{x_0} \hfill \\ \end{gathered} \right.$ derivable $\forall \,x\, \in \,R\,\,$ then the values of $a$ and $b$ are respectively

A$2x_0 , - $ $x_0^2\,$

B$- x_0 , 2 $ $x_0^2\,$

C$- 2x_0 , -$ $x_0^2\,$

D$2x_0^2\,$ , $- x_0$

Solution

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Standard 12

Mathematics

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