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

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

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derivative of-(x^2)

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

- 2 x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

= - 2 x^{2 - 1}

Simplify

= - 2 x

\frac{d}{d x} (\frac{- 11}{x})

x \to 0 + lim ((\frac{sin ( x )}{x})^{\frac{1}{x}})

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

\int \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} - \frac{x ^{2}}{2} d x