What is the derivative of 3x^3-2x^2-x+1 ?

The derivative of 3x^3-2x^2-x+1 is 9x^2-4x-1

What is the first derivative of 3x^3-2x^2-x+1 ?

The first derivative of 3x^3-2x^2-x+1 is 9x^2-4x-1

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derivative of

3 x^{3} - 2 x^{2} - x + 1

9 x^{2} - 4 x - 1

Solution steps

\frac{d}{d x} (3 x^{3} - 2 x^{2} - x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (2 x^{2}) - \frac{d x}{d x} + \frac{d}{d x} (1)

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= 9 x^{2} - 4 x - 1 + 0

Simplify

= 9 x^{2} - 4 x - 1

What is the derivative of 3x^3-2x^2-x+1 ?
The derivative of 3x^3-2x^2-x+1 is 9x^2-4x-1
What is the first derivative of 3x^3-2x^2-x+1 ?
The first derivative of 3x^3-2x^2-x+1 is 9x^2-4x-1