Question

Determine the critical numbers of the given function and classify each critical point

as a relative maximum, a relative minimum, or neither.

ff(tt) = tt2

tt2 + tt − 2 .

Answer 1

$f(t)=t^2+t-2$

$f'(t)=2t+1=0$

$t=-1/2$

$f(-1/2)=-2.25$

at critical point (-0.5,-2.25) $f'(t)$ change sign from "-" to "+", so this is relative minimum