Posted by Veronica on Thursday, July 17, 2008 at 6:34pm.
First familarize yourself with the "product rule" for derivatives.
For a product of two functions, which I will call
f(x) = u(x) * v(x),
the derivative of the product function is
df/dx = u dv/dx + v du/dx
For your second question, let
u(x) = -e^x and v(x) = cos x
du/dx = -e^x and dv/dx = -sin x
df/dx = -e^x cos x + e^x sin x
Now you try the other one
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