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

(2 x - 4)^{\frac{1}{2}}

\frac{1}{( x )}

\frac{d}{d x} (2 cos (10 x) + 2 sin (4 y) + 10 x - 4 y)

1 + ∣ x ∣

\frac{d}{d x} (3 e^{x} - 0.4 y)