What is the first d/(dt)(15+300t) ?

The first d/(dt)(15+300t) is 300

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d/(dt)(15+300t)

\frac{d}{d t} (15 + 300 t)

300

Solution steps

\frac{d}{d t} (15 + 300 t)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (15) + \frac{d}{d t} (300 t)

\frac{d}{d t} (15) = 0

\frac{d}{d t} (300 t) = 300

= 0 + 300

Simplify

= 300

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