What is the derivative of 6x^2-x^3 ?

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

What is the first derivative of 6x^2-x^3 ?

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

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

12 x - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 12 x - 3 x^{2}

7 x^{2} - x^{3}

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

x \to 0 lim ((1 - x)^{\frac{1}{x}})

\frac{d}{d t} (- s t)

(u^{- 2} + u^{- 3}) (u^{5} - 4 u^{2})

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