Derivative of $$$\frac{x}{2}$$$

The calculator will find the derivative of $$$\frac{x}{2}$$$, with steps shown.

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

Leave empty for autodetection.
Leave empty, if you don't need the derivative at a specific point.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find $$$\frac{d}{dx} \left(\frac{x}{2}\right)$$$.

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 $$$c = \frac{1}{2}$$$ and $$$f{\left(x \right)} = x$$$:

$${\color{red}\left(\frac{d}{dx} \left(\frac{x}{2}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dx} \left(x\right)}{2}\right)}$$

Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dx} \left(x\right) = 1$$$:

$$\frac{{\color{red}\left(\frac{d}{dx} \left(x\right)\right)}}{2} = \frac{{\color{red}\left(1\right)}}{2}$$

Thus, $$$\frac{d}{dx} \left(\frac{x}{2}\right) = \frac{1}{2}$$$.

Answer

$$$\frac{d}{dx} \left(\frac{x}{2}\right) = \frac{1}{2}$$$A