Science:Math Exam Resources/Courses/MATH110/December 2013/Question 10 (b)/Statement

Find constants $a$ and $b$ so that the function

$f(x)=\{\begin{array}{ll}{x}^2-2x+1& \text{if }x\le 2\\ ax+b& \text{if }x>2\end{array}$

is differentiable everywhere.