What is the derivative of 2x^3-6x^2-18x-24 ?

The derivative of 2x^3-6x^2-18x-24 is 6x^2-12x-18

What is the first derivative of 2x^3-6x^2-18x-24 ?

The first derivative of 2x^3-6x^2-18x-24 is 6x^2-12x-18

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\frac{d}{d x} (2 x^{3} - 6 x^{2} - 18 x - 24)

6 x^{2} - 12 x - 18

Solution steps

\frac{d}{d x} (2 x^{3} - 6 x^{2} - 18 x - 24)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (18 x) - \frac{d}{d x} (24)

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

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

\frac{d}{d x} (18 x) = 18

\frac{d}{d x} (24) = 0

= 6 x^{2} - 12 x - 18 - 0

Simplify

= 6 x^{2} - 12 x - 18

What is the derivative of 2x^3-6x^2-18x-24 ?
The derivative of 2x^3-6x^2-18x-24 is 6x^2-12x-18
What is the first derivative of 2x^3-6x^2-18x-24 ?
The first derivative of 2x^3-6x^2-18x-24 is 6x^2-12x-18