Differentiate y=e^(x)*sin(x) with respect to x
y=e^(x)*sin(x)
Use the product rule: y'=uv'+vu' y=u*v
Differentiate: u=e^(x) u'=e^(x) v=sin(x) v'=cos(x)
Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x)
Take out a factor of e^(x): y'=e^(x)*(cos(x)+sin(x))
AJ
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