What is the first derivative of-x^2+1 ?

The first derivative of-x^2+1 is -2x

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derivative of-x^2+1

\frac{d}{d x} (- x^{2} + 1)

- 2 x

Solution steps

\frac{d}{d x} (- x^{2} + 1)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= - 2 x + 0

Simplify

= - 2 x

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