Derivative Troubles: A Scientist's Dilemma?

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Garlic
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Hello PF,

1. Homework Statement


I've been having problems with the deriative of a function, although I thought I've done everything right, my solution doesn't match with the right solution. I have no clue what (or if) I've done anything wrong, or simply don't know the tricks I was supposed to use.

Homework Equations

+ 3. The Attempt at a Solution [/B]

Handwritten derivation on lined paper of the derivative of p0 e^(αt) (α sin(ωt) + ω cos(ωt)), with p0, α, ω constants, expanded step by step to a final line sin(ωt)cos(ωt)[α²−ω²] + αω·cos(2ωt), followed by a 'my solution' note and a line giving the expected result p0 e^(αt)[(α²−ω²) sin(ωt) + 2αω cos(ωt)].
 
Okay, so it appears, that I haven't correctly derived the function at the beginning, so the problem begins with the first row.
 
Foil everything... Than you're just going to be using the chain rule
 
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Thank you! :smile:
 
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