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Derivative of $$$\left|{x}\right|$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dx} \left(\left|{x}\right|\right)$$$.
Solution
The derivative of the absolute value is $$$\frac{d}{dx} \left(\left|{x}\right|\right) = \frac{x}{\left|{x}\right|}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\left|{x}\right|\right)\right)} = {\color{red}\left(\frac{x}{\left|{x}\right|}\right)}$$Thus, $$$\frac{d}{dx} \left(\left|{x}\right|\right) = \frac{x}{\left|{x}\right|}$$$.
Answer
$$$\frac{d}{dx} \left(\left|{x}\right|\right) = \frac{x}{\left|{x}\right|}$$$A
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