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**Homework Statement :**

Sorry this is a more accurate translation:

For which a and b does the function have a derivative everywhere

[tex]

f(x) = \begin{cases}

ax+b, & x≤1\\

x^2, & x>1

\end{cases}[/tex]

I'd be grateful if someone explains to me the algorithm for solving these type of problems.

Thank you in advance.

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