Find the Derivative - d/dx x/2

Problem

$\frac{d}{dx}\frac{x}{2}$

Solution

1. Identify the expression as a linear term where $x$ is multiplied by a constant coefficient.

2. Rewrite the fraction to clearly see the constant factor.

$\frac{x}{2}=\frac{1}{2}x$

3. Apply the power rule for differentiation, which states that $\frac{d\left(a\right)x}{dx}=a$ for any constant $a$

$\frac{d}{dx}\frac{1}{2}x=\frac{1}{2}$

Final Answer

$\frac{d}{dx}\frac{x}{2}=\frac{1}{2}$

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