0 votes 0 votes The minimum point of the function ($x^3$ / $3$)- $x$ is at a) x= 1 b) x = -1 c) x = 0 d) x = 1/ √ 3 Calculus isro-ee engineering-mathematics calculus + – sh!va asked Mar 10, 2017 retagged Mar 7, 2019 by Naveen Kumar 3 sh!va 1.3k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $Let f(x)=x^{3}/3 - x$; ${f(x)}'= 2x^{2}-1$; Now Putting ${f(x)}'=0$; Solving we get $x=1$,$-1$; ${f(x)}''$ is greater than zero for $x=1$ which implies $x=1$ is a point of minima. And the minimum value of $f(x)=-2/3$ sampurnanand mishra answered Apr 20, 2018 sampurnanand mishra comment Share Follow See all 0 reply Please log in or register to add a comment.