Find the absolute maximum value of f ( x ) = e x ( sin x − cos x ) {\displaystyle \displaystyle f(x)=e^{x}(\sin x-\cos x)} on the interval [ π 2 , 2 π ] {\displaystyle [{\tfrac {\pi }{2}},2\pi ]}
![{\displaystyle [{\tfrac {\pi }{2}},2\pi ]}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/974f69a5354c16a4f5804e6320f432a5c8684206)