Posted: 5/4/2015 5:31:27 PM EDT
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Does the chain rule work for trigonometric functions?
df/dt = df/dp * dp/dq * dq/dt If f(t) = Cos^2(wt) <--- supposed to be cosine-squared (cosine(wt) * cosine(wt)) f(p) = p^2 p(q) = Cos(q) q(t) = wt Is this correct? d/dt [Cos^2(wt)] = 2*Cos(wt) * (-Sin(wt)) * (w) Now that I have typed this out I am certain it is true and that the chain rule works just fine for trig functions. Please confirm for me, or tell me I stupid  but then give the correct answer.
ETA - I just noticed the effective frequency of Cos^2(wt) is double that of Cos(wt). |