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

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

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

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

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derivative of

y = 2 x^{3} - x^{2} + 2

6 x^{2} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

Simplify

= 6 x^{2} - 2 x

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