What is the derivative of 2x^3-2x^2+12 ?

The derivative of 2x^3-2x^2+12 is 6x^2-4x

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

The first derivative of 2x^3-2x^2+12 is 6x^2-4x

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derivative of

2 x^{3} - 2 x^{2} + 12

6 x^{2} - 4 x

Solution steps

\frac{d}{d x} (2 x^{3} - 2 x^{2} + 12)

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (12) = 0

= 6 x^{2} - 4 x + 0

Simplify

= 6 x^{2} - 4 x

x^{\frac{3}{8}}

x \to 0 lim (- 2 - x)

(x^{2} + 1) y^{^{'}} + 3 x (y - 1) = 0, y (0) = 3

\frac{d}{d x} (x^{2} - 6 x + 8)

\frac{2 x}{1 + x ^{2}}

What is the derivative of 2x^3-2x^2+12 ?
The derivative of 2x^3-2x^2+12 is 6x^2-4x
What is the first derivative of 2x^3-2x^2+12 ?
The first derivative of 2x^3-2x^2+12 is 6x^2-4x