What is the first derivative of-3+8x ?

The first derivative of-3+8x is 8

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derivative of-3+8x

\frac{d}{d x} (- 3 + 8 x)

8

Solution steps

\frac{d}{d x} (- 3 + 8 x)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (3) + \frac{d}{d x} (8 x)

\frac{d}{d x} (3) = 0

\frac{d}{d x} (8 x) = 8

= - 0 + 8

Simplify

= 8