Question

Consider the function ft=sin(t)cos(t) on the interval [1/4π,3/4π]. (Hint: If there is more than one value, separate the values with commas.) a) Give all the values of t where ft assumes its absolute maximum value. Max = b) Give all the values of t where ft assumes its absolute minimum value. Min =

Answer 1

since your locating the absolute max and mins for f, you'll need to locate all relative max/mins (f'=0) and then compare which is the largest/smallest.
don't forget to evaluate at the endpoints also.

btw, i'm assuming you mean [pi/4, 3pi/4] as your interval.