What is the first derivative of 3x^2-9 ?

The first derivative of 3x^2-9 is 6x

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derivative of 3x^2-9

\frac{d}{d x} (3 x^{2} - 9)

6 x

Solution steps

\frac{d}{d x} (3 x^{2} - 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (9)

\frac{d}{d x} (3 x^{2}) = 6 x

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

= 6 x - 0

Simplify

= 6 x