ENG1090 MUM S1 2025 Lecture quiz 7

Let f:R→Rf:\mathbb{R}\to \mathbb{R} be the function f(x)=√x−1f(x)=\sqrt{x-1} for x≥1x\geq 1 and f(x)=|x|−1f(x) = |x| - 1 for x<1x< 1. Determine all values of xx where ff is differentiable.