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

\frac{d}{d x} (arctan (4 x^{2} + 1))

\frac{1}{4 - x}

4 x - 1

y^{^{'}} = \frac{( x - 8 )}{x}

\frac{\partial}{\partial x} (U (x) (1 + \frac{R ( x ) ^{3}}{x ^{3}}))