find the derivative of the function f(t)= e^at sin bt

Question

Please help me 

Answer 1

Jessica,

 

Here we can use the product rule:

dy/dx uv = uv' + vu'

where u=e^at and v=sin bt

 

Then u'=ae^at and v'=b cos bt

then f'(t)=b cos bt * e^at + ae^at * sin bt

 

Hope that helps!