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[" Prove that the tunction "t(x)=x-3x+3x...

[" Prove that the tunction "t(x)=x-3x+3x-100" is increasing on n."],[" Show that "f(x)=(x-1)e^(x)+1" is an increasing function for all "x>0" ."],[" Show that "f(x)=sin x-cos x" is an increasing function on "(-pi/4,pi/4)" ."]

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