siriusmart@lemmy.worldM to Daily Maths Challenges@lemmy.world · 7 months ago[2024/05/15] Differentiability implies continuitylemmy.worldimagemessage-square6fedilinkarrow-up111arrow-down10file-text
arrow-up111arrow-down1image[2024/05/15] Differentiability implies continuitylemmy.worldsiriusmart@lemmy.worldM to Daily Maths Challenges@lemmy.world · 7 months agomessage-square6fedilinkfile-text
Show that if a function is differentiable for an interval, it is continuous over that interval. A function is continuous if lim_x->a f(x) = f(a)
minus-squaresiriusmart@lemmy.worldOPMlinkfedilinkarrow-up1·6 months agoi thought the “default” counter example is y=|x| lol
i thought the “default” counter example is y=|x| lol