Question

Math question

Answer 1

@Michele_Laino Is this one B?

Answer 2

correct!

Answer 3

please wait, it is not option B.

Answer 4

here the first derivative is:
\[f'\left( x \right) = 3\left( { - {x^2} + 1} \right)\]
and, it is an increasing function, if the subsequent condition holds:
\[ - {x^2} + 1 > 0\]
please, what is the solution of that inequality?

Answer 5

-x^2 > -1

Answer 6

the solution is the subsequent set \(S\):
\[S = \left\{ {x \in \mathbb{R}| - 1 < x < 1} \right\}\]

Answer 7

as we can see, at \(x=1\) we have a local, or relative maximum for f(x)