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})

Simplify

(- x)^{2} : x^{2}

= \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

n = 1 \sum \infty \frac{n ^{3}}{3 ^{n}}

\frac{\partial}{\partial x} (arctan (x))

\frac{d y}{d x} + 3 y = e^{3 x}

(3^{2 x})^{^{'}}

(x - 2)^{4}