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The function $f(x)$ defined by 

$f(x)
= \begin{cases}
ax+b & \text{x ≥ 1 }  \\
 x^{2}+3x+3& \text{x ≤ 1}  
\end{cases}$

is differentiable 

  1. For a unique value of a and infinitely many values of $b$
  2. For a unique value of $b$ and infinitely many values of $a$
  3. For infinitely many values of $a$ and $b$
  4. None of the above
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d) a=5

b=2

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