Mathxyz - upsc.xyz
0 votes
Let

    $f(t) = \int_{0}^{t} [x] dx$,

where $[x]$ denotes the largest integer less than or equal to $x$.

(i)  Determine all the real numbers $t$ at which $f$ is differentiable.

(ii) Determine all the real numbers $t$ at which $f$ is continuous but not differentiable.
asked Nov 25, 2017 by randomisation (1,920 points)  

Please log in or register to answer this question.

Welcome to MathXyz, where you can ask questions and receive answers from other members of the community. Please strictly ask questions from UPSC Mathematics syllabus.
38 questions
27 answers
2 comments
19 users