0 votes 0 votes Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$ $f(x)=\frac{1}{x(1-x)}$ $g(x)=-(x-0.75)^2$ $u(x)=\sin(\frac{\pi x}{2})$ $v(x)=x^2+2x$ Others cmi2018-datascience functions discrete-mathematics + – soujanyareddy13 asked Jan 29, 2021 edited Feb 4, 2021 by soujanyareddy13 soujanyareddy13 495 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes for $g(x)=-(x-0.75)^2$ we have $g'(x)=-2(x-0.75)$ for extermum we $g’(x)$ will be 0. $\therefore$ $g’(x)=0$ $\Rightarrow x=0.75$ Again $g’’(x)=-1<0$ $\therefore$ $x=0.75$ is a point of maximum siddhartha nandi answered Apr 25, 2021 siddhartha nandi comment Share Follow See all 0 reply Please log in or register to add a comment.