How to differentiate e^x . sin(x)

e^x sin(x) is a product of two functions: e^x and sin(x). This means we can use the product rule.
Let e^x = u and sin(x) = v
The differential of uv is u'v + v'u where u' and v' are the two functions differentiated separately.
u' = e^x and v' = cos(x)
So the differential of e^xsin(x) is e^xsin(x) + e^xcos(x)