Use the function f(x)=sin(x)+cos(x), where 0(< or equal to)x(< or equal to)pi to answer the following

A.) determine all stationary points. Classify the points as relative maxima or minima

B.)locate any points of inflection

C.)determine the end points of the interval

f(x) ---> sinx +cosx so f '(x) ---> cosx -sinx also f ''(x) --->-sinx-cosx
f '(x) --->0 cosx --> sinx ie tanx --->1 between 0 and pi x is pi/4 and f ''(x) is negative
ie pi/4 is a maxima f '' (x) --->0 when tanx is -1 when x is 3pi/4 either side of 3pi/4 cos is negative and sin is positive ie f ' (x) is negative either side of 3pi//4 so 3pi/4 is a point of inflection
end points when x is0 f(x) is 1 (0,1) one end point when x is pi f(x) is -1 other end point is (pi, -1) .