What is the derivative of 12x^3-12x^2-24x ?

The derivative of 12x^3-12x^2-24x is 36x^2-24x-24

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

The first derivative of 12x^3-12x^2-24x is 36x^2-24x-24

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\frac{d}{d x} (12 x^{3} - 12 x^{2} - 24 x)

36 x^{2} - 24 x - 24

Solution steps

\frac{d}{d x} (12 x^{3} - 12 x^{2} - 24 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12 x^{3}) - \frac{d}{d x} (12 x^{2}) - \frac{d}{d x} (24 x)

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

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

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

= 36 x^{2} - 24 x - 24

What is the derivative of 12x^3-12x^2-24x ?
The derivative of 12x^3-12x^2-24x is 36x^2-24x-24
What is the first derivative of 12x^3-12x^2-24x ?
The first derivative of 12x^3-12x^2-24x is 36x^2-24x-24