# Thread: local max

1. ## local max

at what value of t does the local max occur?

2. Originally Posted by dat1611

at what value of t does the local max occur?
$f'(t) = \frac{t^2 + 10t + 24}{1 + \cos^2{t}} = \frac{(t+4)(t+6)}{1 + \cos^2{t}}$

$f'(t) = 0$ at $t = -6$ and $t = -4$

at $t = -6$ , $f'(t)$ changes sign from positive to negative

at $t = -4$ , $f'(t)$ changes sign from negative to positive

so ... where is the relative max located?