x E *sin(x)
E^x*sin(x)
Apply the product rule:
; to find :
The derivative of is itself.
The derivative of sine is cosine:
The result is:
Now simplify:
The answer is:
x x cos(x)*e + e *sin(x)
x 2*cos(x)*e
x 2*(-sin(x) + cos(x))*e