What is the derivative of 2x^3-12x^2-30x+9 ?

The derivative of 2x^3-12x^2-30x+9 is 6x^2-24x-30

What is the first derivative of 2x^3-12x^2-30x+9 ?

The first derivative of 2x^3-12x^2-30x+9 is 6x^2-24x-30

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derivative of

2 x^{3} - 12 x^{2} - 30 x + 9

6 x^{2} - 24 x - 30

Solution steps

\frac{d}{d x} (2 x^{3} - 12 x^{2} - 30 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (12 x^{2}) - \frac{d}{d x} (30 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (30 x) = 30

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

= 6 x^{2} - 24 x - 30 + 0

Simplify

= 6 x^{2} - 24 x - 30

What is the derivative of 2x^3-12x^2-30x+9 ?
The derivative of 2x^3-12x^2-30x+9 is 6x^2-24x-30
What is the first derivative of 2x^3-12x^2-30x+9 ?
The first derivative of 2x^3-12x^2-30x+9 is 6x^2-24x-30