f(t) = sin2(t)----This is sin squared t, 0 ≤ t ≤ π
Determine the interval(s) on which the function is concave up.
Determine the interval(s) on which the function is concave down.
Determine the inflection Points
Determine the critical points.
f'(t) = 2sin(t)cos(t)
For concave up function, the slope is positive.
In the first quadrant both sin(t) and cos(t) are positive.
For concave down function, the slope is negative.
It is possible when t is .........?