What is the derivative of 2x^3-12x^2+18x ?

The derivative of 2x^3-12x^2+18x is 6x^2-24x+18

What is the first derivative of 2x^3-12x^2+18x ?

The first derivative of 2x^3-12x^2+18x is 6x^2-24x+18

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\frac{d}{d x} (2 x^{3} - 12 x^{2} + 18 x)

6 x^{2} - 24 x + 18

Solution steps

\frac{d}{d x} (2 x^{3} - 12 x^{2} + 18 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (18 x)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (18 x) = 18

= 6 x^{2} - 24 x + 18

x \to 3 lim ((- 4) x)

\frac{d x}{d y} + 800 y = 400

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

\frac{d}{d x} ((ln (5 x))^{2})

\frac{\partial}{\partial x} ((90 - x)^{2} \cdot (x + 2))

What is the derivative of 2x^3-12x^2+18x ?
The derivative of 2x^3-12x^2+18x is 6x^2-24x+18
What is the first derivative of 2x^3-12x^2+18x ?
The first derivative of 2x^3-12x^2+18x is 6x^2-24x+18