Daily Graph 27-08-09

Dom=R
Range=[-1,2]

Period=2Ï€

Neither even nor odd

Y intercept:
Origin

X intercept:
sin²x+sinx=0
=> sinx(sinx+1)=0
=> sinx=0;sinx=-1
=>x=nπ;x=mπ+(-1)^mπ2
=> x=0,Ï€,2Ï€.. ; -Ï€/2,Ï€/2,5Ï€/2...

f(x)=sin²x+sinx
f'(x)=2sinxcosx+cosx

f'(x)=0 => cosx(2sinx+1)=0
=> cosx=0 ; sinx=-1/2
=>x=(2k+1)π2 ; x=lπ+(-1)^lπ6

f"(x)=-2sin²xcosx+2cos²x-sinx

Can anyone finsih it now ??

@xyz..
at 3Ï€/2 and similar intervals..graph wont be sharp..it will be smooth..just touching..