Question #aa795
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"What is a supersaturated solution?"
#x=+-pi/2#. But these are outside the open interval #(-pi/2, pi/2)). So, within here, there is no point of inflexion.
Let #y = e^x sin x#.
#y'=(s^x)'sin x+e^x(sin x)'#
#=e^x(sin x + e^x cos x#
#= e^x(sin x + cos x )#
#y''=(e^x)'(sin x + cos x )+e^x(sin x +cos x)'#
#=e^x(sin x + cos x + cos x - sin x)#
#=2e^x cos x=0, when cos x =0 to x=+-pi/2#
#y'''=2((e^x)'cos x+e^x(sin x)'#
#=2e^x(cos x-sin x)#
At #x=+-pi/2#, y'''is not 0##
Thus,# x = +-pi/2# are points of inflection. But these ar outside #(-pi/2, pi/2)#.
Note that y'=0 is not a necessary condition.
Here, y' is not 0 at #x = +-pi/2#.
