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

\frac{\partial}{\partial x} (\frac{( 4 x + y )}{x - 3 y})

\frac{d}{d x} (arctan (\frac{x}{2}))

\int \frac{8 x ^{7} + 2 x}{x ^{8} + x ^{2}} d x

\frac{\partial}{\partial y} (\frac{2 x}{y ^{2}})

y^{^{'}} = 8 (y^{2} + 1)

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