What is the first derivative of-0.5x^2 ?

The first derivative of-0.5x^2 is -x

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derivative of-0.5x^2

\frac{d}{d x} (- 0.5 x^{2})

- x

Solution steps

\frac{d}{d x} (- 0.5 x^{2})

Take the constant out:

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

= - 0.5 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 0.5 \cdot 2 x^{2 - 1}

Simplify

= - x

g (x) = x^{5} + \frac{1}{x ^{5}}

x \to - 3 + lim (\frac{1}{x ^{2} - 9})

(1, - 19), (- 2, - 7)

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