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

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

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derivative of-x^2-2

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

- 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

= - 2 x - 0

Simplify

= - 2 x

\int \frac{2 x}{9 - x ^{4}} d x

(- 3, 1), (- 7, - 2)

(sec (x))^{3}

\int \frac{e ^{x}}{( e ^{x} - 8 ) ( e ^{2 x} + 1 )} d x

x \to \infty lim (3 + \frac{5}{x})