What is the first derivative of x+3g ?

The first derivative of x+3g is 1

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derivative of x+3g

derivative of

x + 3 g

1

Solution steps

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

Treat

g

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 + 0

Simplify

= 1