What is the first derivative of x(t) with a missing factor of w?

[viciado123]

What is the first derivative of

$$x(t) = Acos(wt) + Bsin(wt) + \frac{F}{2mw}tsin(wt)$$

I find:

$$-Awsin(wt) + Bwcos(wt) + \frac{Ftcos(wt)+Fsin(wt)}{2mw}$$

is correct ?

 

[rochfor1]

I believe you're missing a factor of w in the first term of the numerator of the fraction.