Calculus Examples

$y = \frac{2 x - 6}{4 - x}$

Step 1

Factor $2$ out of $2 x - 6$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{d}{d y} [\frac{2 (x) - 6}{4 - x}]$

Step 1.2

Factor $2$ out of $- 6$ .

$\frac{d}{d y} [\frac{2 x + 2 \cdot - 3}{4 - x}]$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot - 3$ .

$\frac{d}{d y} [\frac{2 (x - 3)}{4 - x}]$

Step 2

Since $\frac{2 (x - 3)}{4 - x}$ is constant with respect to $y$ , the derivative of $\frac{2 (x - 3)}{4 - x}$ with respect to $y$ is $0$ .

$0$