What is the derivative of x^3-12x-5 ?

The derivative of x^3-12x-5 is 3x^2-12

What is the first derivative of x^3-12x-5 ?

The first derivative of x^3-12x-5 is 3x^2-12

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\frac{d}{d x} (x^{3} - 12 x - 5)

3 x^{2} - 12

Solution steps

\frac{d}{d x} (x^{3} - 12 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (12 x) - \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5) = 0

= 3 x^{2} - 12 - 0

Simplify

= 3 x^{2} - 12

What is the derivative of x^3-12x-5 ?
The derivative of x^3-12x-5 is 3x^2-12
What is the first derivative of x^3-12x-5 ?
The first derivative of x^3-12x-5 is 3x^2-12