Hi all!

I have to differentiate the following function using the Product Rule:

f(x) = (cos x)e^-x sqrt 3

Here are my workings so far:

g(x)=(cos x) h(x)=e^-x sqrt 3

f ' (x) = g ' (x) h(x) + g(x) h' (x)

= (-sin x)e^-x sqrt 3 + (cos x)-e^-x sqrt 3

From here I do not know how to proceed further and am not sure whether above working is correct.

TIA