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

The derivative of x^3-x^2-6x+2 is 3x^2-2x-6

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

The first derivative of x^3-x^2-6x+2 is 3x^2-2x-6

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

3 x^{2} - 2 x - 6

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (2) = 0

= 3 x^{2} - 2 x - 6 + 0

Simplify

= 3 x^{2} - 2 x - 6

What is the derivative of x^3-x^2-6x+2 ?
The derivative of x^3-x^2-6x+2 is 3x^2-2x-6
What is the first derivative of x^3-x^2-6x+2 ?
The first derivative of x^3-x^2-6x+2 is 3x^2-2x-6