What is the derivative of 1000x-x^2 ?

The derivative of 1000x-x^2 is 1000-2x

What is the first derivative of 1000x-x^2 ?

The first derivative of 1000x-x^2 is 1000-2x

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\frac{d}{d x} (1000 x - x^{2})

1000 - 2 x

Solution steps

\frac{d}{d x} (1000 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1000 x) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (1000 x) = 1000

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

= 1000 - 2 x

(\frac{x}{2})^{^{'}}

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What is the derivative of 1000x-x^2 ?
The derivative of 1000x-x^2 is 1000-2x
What is the first derivative of 1000x-x^2 ?
The first derivative of 1000x-x^2 is 1000-2x