0 votes 0 votes Let $y=\lfloor x \rfloor$, where $\lfloor x \rfloor$ is greatest integer less than or equal to $x$. Then $y$ is continuous and many-one $y$ is not differentiable and many-one $y$ is not differentiable $y$ is differentiable and many-one Calculus isi2015-dcg calculus continuity differentiation + – gatecse asked Sep 18, 2019 • retagged Nov 15, 2019 by Lakshman Bhaiya gatecse 434 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes The graph is discontinuos, so non-differentialble, and for two real numbers, a common image is there… so Option B neeraj_bhatt answered Sep 9, 2020 neeraj_bhatt comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes we all know that greatest integer function can't be continuous and differentiable at integer value The greatest integer function rounds any number down to the nearest integer. For example, 6.3 would get rounded down to 6, and 7.9 would get rounded down to 7. Sonu123x answered Feb 22 Sonu123x comment Share Follow See all 0 reply Please log in or register to add a comment.