Question

verify rolle's theorem for f(x)=x(x+3)e^-(x/2)

Answer 1

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.

Answer 2

*correction: \( c \in (0,3) \)

Answer 3

is it really ok to suppose the interval on our own becoz it is not given in the questiion

Answer 4

If they don't specify an interval, why not pick your own?

Answer 5

okay