0 votes 0 votes Which of the following functions is not differentiable in the domain $[-1,1]$ ? (a) $f(x) = x^2$ (b) $f(x) = x-1$ (c) $f(x) = 2$ (d) $f(x) = Maximum (x,-x)$ Calculus engineering-mathematics usergate2002 usermod calculus differentiation + – balchandar reddy san asked May 4, 2019 recategorized May 12, 2019 by ankitgupta.1729 balchandar reddy san 2.6k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply ankitgupta.1729 commented May 12, 2019 reply Follow Share @Hirak $x^2$ is differentiable and $x-1$ is continuous and differentiable in the given domain.. make the graph of both and check.. 2 votes 2 votes Hirak commented May 12, 2019 reply Follow Share Sorry.. i have went terribly wrong, Thnaks a TON for making it right.. :) 1 votes 1 votes Please log in or register to add a comment.
1 votes 1 votes Actually $|x|$=maximum(x,-x) , you can verify this here https://math.stackexchange.com/questions/1856255/prove-x-max-x-x and we know that $|x|$ is not differentiable at x=0 which is in interval [-1,1] . Rest of the functions are continuous and differentiable everywhere. so option D. Arif_Faizan answered Jul 24, 2019 Arif_Faizan comment Share Follow See all 0 reply Please log in or register to add a comment.