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

The derivative of 1-2x^2 is -4x

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

The first derivative of 1-2x^2 is -4x

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

- 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x^{2}) = 4 x

= 0 - 4 x

Simplify

= - 4 x