Question #36066

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Answer 1 · 2017-06-06T00:15:31

Let's use the product rule:

#(d((x+1)(e^x)))/dx = (d(x+1))/dx(e^x)+ (x+1)(d(e^x))/dx#

#(d((x+1)e^x))/dx = (1)(e^x)+ (x+1)(e^x)#

#(d((x+1)e^x))/dx = (x+2)(e^x)#

Answer 2 · 2017-06-06T00:20:05

#dy/dy=e^x(x+2)#

#dy/dy=d/dx(x+1)e^x#

#dy/dx=(x+1)d/dx(e^x)+e^xd/dx(x+1)#

#dy/dx=(x+1)e^x+e^x#

#dy/dy=e^x(x+2)#