Question

Plot (use technology) y = sin x+cos x restricted to 0 <( or equal) x <( or equal) pi/2. Locate the points on the graph at which the tangent line appears to have slope zero. Then solve f'(x) = 0 where x in (0, [pi]/2). This way you find x, for which the graph y = sin x+cos x has a horizontal tangent line.

Answer 1

well
looks very straightforward
graph the function, look at where the tangent has a slope of zero, or a horizontal line
that'd be at the maxima and minima


then do the same using the 1st derivative, set it to 0, solve for "x"

Answer 2

i graphed it but i dont think its horizontal at any point

Answer 3

how to solve for x