What is the first derivative of 9x+1 ?

The first derivative of 9x+1 is 9

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derivative of 9x+1

\frac{d}{d x} (9 x + 1)

9

Solution steps

\frac{d}{d x} (9 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (1)

\frac{d}{d x} (9 x) = 9

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

= 9 + 0

Simplify

= 9