Here's the question you clicked on:
suju101
verify rolle's theorem for f(x)=x(x+3)e^-(x/2)
For example, for x = 0 and x = 3, f(x) = 0. Hence Rolle's Theorem predicts there is a number \[ c \in [0,3] \] such that \( f'(c) = 0 \). To 'verify' Rolle's Theorem, show that this is indeed the case by explicitly finding such a number c.
*correction: \( c \in (0,3) \)
is it really ok to suppose the interval on our own becoz it is not given in the questiion
If they don't specify an interval, why not pick your own?