If the function \[ f(x)=\left\{\begin{array}{ll} a x+b & x \leq-1 \...

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If the function
\[
f(x)=\left\{\begin{array}{ll}
a x+b & x \leq-1 \\
a x^{3}+x+2 b & x-1
\end{array}\right.
\]
is differentiable for all values of \( x \) then
(a) \( a=1 / 2 \)
(b) \( b=0 \)
(c) \( a=-1 / 2 \)
(d) \( b=1 \)
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