What is the first derivative of 2x+9 ?

The first derivative of 2x+9 is 2

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derivative of 2x+9

\frac{d}{d x} (2 x + 9)

2

Solution steps

\frac{d}{d x} (2 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (9)

\frac{d}{d x} (2 x) = 2

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

= 2 + 0

Simplify

= 2

\int \frac{4 x ^{3} + 2 x ^{2} + 1}{4 x ^{3} - x} d x

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