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Derivative of $$$- x$$$
The calculator will find the derivative of $$$- x$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the constant multiple rule $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$ with $$$c = -1$$$ and $$$f{\left(x \right)} = x$$$:
$${\color{red}\left(\frac{d}{dx} \left(- x\right)\right)} = {\color{red}\left(- \frac{d}{dx} \left(x\right)\right)}$$Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dx} \left(x\right) = 1$$$:
$$- {\color{red}\left(\frac{d}{dx} \left(x\right)\right)} = - {\color{red}\left(1\right)}$$Thus, $$$\frac{d}{dx} \left(- x\right) = -1$$$.
Answer
$$$\frac{d}{dx} \left(- x\right) = -1$$$A