What is the first derivative of y=4x-9 ?

The first derivative of y=4x-9 is 4

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derivative of y=4x-9

derivative of

y = 4 x - 9

4

Solution steps

\frac{d}{d x} (4 x - 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (9)

\frac{d}{d x} (4 x) = 4

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

= 4 - 0

Simplify

= 4

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