engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Calculus Differentiability
If \(f\left( x \right) = {x^3} - 3x - 1\) is continuous in the closed interval \(\left[ {\frac{{13}}{7}, - \frac{{11}}{7}} \right]\) and f’(x) exists in the open interval \(\left( {\frac{{13}}{7}, - \frac{{11}}{7}} \right)\) then find the value of 'c' such that it lies in \(\left( {\frac{{13}}{7}, - \frac{{11}}{7}} \right)?\)
1
-1
2
0
3
1
4
±1