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Find values for $m$ and $b$ so that $f(x)=\{\begin{array}{ccc}{x}^2& if& x-2\\ mx& bif& x>-2\end{array}$ is differentiable at $x=-2.$

Hint: if a function is to be differentiable $($let$\text{'}$s say at $x=-2),$ then it must also be continuous $($at $x=-2).$ Find $m$ first using slope information, then find $b$ using continuity information.