## suju101 Group Title verify rolle's theorem for f(x)=x(x+3)e^-(x/2) 2 years ago 2 years ago

1. JamesJ

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.

2. JamesJ

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

3. suju101

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

4. JamesJ

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

5. suju101

okay