What is the derivative of 6x^2+9 ?

The derivative of 6x^2+9 is 12x

What is the first derivative of 6x^2+9 ?

The first derivative of 6x^2+9 is 12x

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\frac{d}{d x} (6 x^{2} + 9)

12 x

Solution steps

\frac{d}{d x} (6 x^{2} + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (9)

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 12 x + 0

Simplify

= 12 x

f (x) = \frac{( 2 x - 1 )}{( x + 5 )}, at x = 3

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