overall accuracy: 84.2% record: 13 score: 13 d/dx (3x - xy) equals 3x - y + xy 3 - y - xy 3 - y + xy 3x - y…

Explanation:

Step1: Apply sum - difference rule of derivatives

The derivative of a sum/difference of functions is the sum/difference of their derivatives. So, $\frac{d}{dx}(3x - xy)=\frac{d}{dx}(3x)-\frac{d}{dx}(xy)$.

Step2: Differentiate $3x$

Using the power - rule $\frac{d}{dx}(ax)=a$ (where $a = 3$), we have $\frac{d}{dx}(3x)=3$.

Step3: Differentiate $xy$ using product rule

The product rule states that $\frac{d}{dx}(uv)=u'v + uv'$, where $u = x$ and $v = y$. So, $\frac{d}{dx}(xy)=x'y+xy'=y + xy'$.

Step4: Combine results

$\frac{d}{dx}(3x)-\frac{d}{dx}(xy)=3-(y + xy')=3 - y-xy'$.

Answer:

$3 - y-xy'$