What is the first d/(dt)(-38t+220) ?

The first d/(dt)(-38t+220) is -38

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d/(dt)(-38t+220)

\frac{d}{d t} (- 38 t + 220)

- 38

Solution steps

\frac{d}{d t} (- 38 t + 220)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (38 t) + \frac{d}{d t} (220)

\frac{d}{d t} (38 t) = 38

\frac{d}{d t} (220) = 0

= - 38 + 0

Simplify

= - 38

(x^{2} + 9) (x^{3} + 5)

\frac{( x ^{4} + 9 )}{x ^{2}}

tan^{- 2} (x)

2 t + 5

\frac{d}{d a} (\frac{( a - t ^{2} )}{( b \cdot x )})