What is the derivative of 4x^3-12x ?

The derivative of 4x^3-12x is 12x^2-12

What is the first derivative of 4x^3-12x ?

The first derivative of 4x^3-12x is 12x^2-12

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\frac{d}{d x} (4 x^{3} - 12 x)

12 x^{2} - 12

Solution steps

\frac{d}{d x} (4 x^{3} - 12 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (12 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (12 x) = 12

= 12 x^{2} - 12

What is the derivative of 4x^3-12x ?
The derivative of 4x^3-12x is 12x^2-12
What is the first derivative of 4x^3-12x ?
The first derivative of 4x^3-12x is 12x^2-12