\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Define \(f : \mathbb{R} \to \mathbb{R}\) by \(f(x) = x^2\) for \(x \le 0\) and \(f(x) = x^2 + x\) for \(x > 0\). Show that \(f\) is continuous at \(0\) but not differentiable at \(0\). Why does T5.2 not save the day?
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.