What is the derivative of 9x^2+4 ?

The derivative of 9x^2+4 is 18x

What is the first derivative of 9x^2+4 ?

The first derivative of 9x^2+4 is 18x

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\frac{d}{d x} (9 x^{2} + 4)

18 x

Solution steps

\frac{d}{d x} (9 x^{2} + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (4)

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (4) = 0

= 18 x + 0

Simplify

= 18 x

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