What is the first derivative of 5x+9 ?

The first derivative of 5x+9 is 5

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derivative of 5x+9

\frac{d}{d x} (5 x + 9)

5

Solution steps

\frac{d}{d x} (5 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (9) = 0

= 5 + 0

Simplify

= 5

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