What is the first derivative of 1+3x ?

The first derivative of 1+3x is 3

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derivative of 1+3x

\frac{d}{d x} (1 + 3 x)

3

Solution steps

\frac{d}{d x} (1 + 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (3 x)

\frac{d}{d x} (1) = 0

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

= 0 + 3

Simplify

= 3

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