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## Homework Statement

Differentiate y=e

^{-x}sin(3x)

**2.The attempt at a solution**

With Product rule

**y'=-e**

^{-x}Sin(3x)+3e^{-x}Cos(3x)And Logarithm way

Taking log both sides

lny= lne

^{-x}+ln(Sin3x)

lny= 1/x+ln(Sin3x)

1/y*dy/dx=-x

^{-2}+3(Cos3x/Sin3x)

**y'=-(e**

^{-x}Sin3x)/x^{2}+3e^{-x}Cos3x