Problem 648 (difficulty: 3/10)

Let \(\displaystyle f(x)=x^2 ,\) if \(\displaystyle x\leq 1,\) és \(\displaystyle f(x)=ax+b,\) ha \(\displaystyle x>1.\) For which values of \(\displaystyle a\) and \(\displaystyle b\) will\(\displaystyle f\) be differentiable?

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