What is the derivative of 6x^2+6x-36 ?

The derivative of 6x^2+6x-36 is 12x+6

What is the first derivative of 6x^2+6x-36 ?

The first derivative of 6x^2+6x-36 is 12x+6

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\frac{d}{d x} (6 x^{2} + 6 x - 36)

12 x + 6

Solution steps

\frac{d}{d x} (6 x^{2} + 6 x - 36)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (6 x) - \frac{d}{d x} (36)

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (36) = 0

= 12 x + 6 - 0

Simplify

= 12 x + 6

What is the derivative of 6x^2+6x-36 ?
The derivative of 6x^2+6x-36 is 12x+6
What is the first derivative of 6x^2+6x-36 ?
The first derivative of 6x^2+6x-36 is 12x+6