What is the derivative of f(x)=-x^2+1 ?

The derivative of f(x)=-x^2+1 is -2x

What is the first derivative of f(x)=-x^2+1 ?

The first derivative of f(x)=-x^2+1 is -2x

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derivative of

f (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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What is the derivative of f(x)=-x^2+1 ?
The derivative of f(x)=-x^2+1 is -2x
What is the first derivative of f(x)=-x^2+1 ?
The first derivative of f(x)=-x^2+1 is -2x