What is the derivative of f(x)=3x^2-x^3 ?

The derivative of f(x)=3x^2-x^3 is 6x-3x^2

What is the first derivative of f(x)=3x^2-x^3 ?

The first derivative of f(x)=3x^2-x^3 is 6x-3x^2

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derivative of

f (x) = 3 x^{2} - x^{3}

6 x - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 6 x - 3 x^{2}

What is the derivative of f(x)=3x^2-x^3 ?
The derivative of f(x)=3x^2-x^3 is 6x-3x^2
What is the first derivative of f(x)=3x^2-x^3 ?
The first derivative of f(x)=3x^2-x^3 is 6x-3x^2