What is the first derivative of 1+5x ?

The first derivative of 1+5x is 5

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derivative of 1+5x

\frac{d}{d x} (1 + 5 x)

5

Solution steps

\frac{d}{d x} (1 + 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (5 x)

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

\frac{d}{d x} (5 x) = 5

= 0 + 5

Simplify

= 5

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