What is the first d/(dt)(ssin(t)) ?

The first d/(dt)(ssin(t)) is scos(t)

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d/(dt)(ssin(t))

\frac{d}{d t} (s sin (t))

s cos (t)

Solution steps

\frac{d}{d t} (s sin (t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= s \frac{d}{d t} (sin (t))

Apply the common derivative:

\frac{d}{d t} (sin (t)) = cos (t)

= s cos (t)

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