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

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

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

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

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

3 - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 - 2 x

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