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What is the second derivative of ##xe^(2x) ##?
You get: ##y'=1*e^(2x)+x*2e^(2x)=e^(2x)+2xe^(2x)=e^(2x)(2x+1)## ##y''=2e^(2x)(2x+1)+e^(2x)*2=4xe^(2x)+2e^(2x)+2e^(2x)=## ##=4xe^(2x)+4e^(2x)##