Calculus Examples

$\frac{2 x}{1 - 2 y}$

Step 1

Since $\frac{2}{1 - 2 y}$ is constant with respect to $x$ , the derivative of $\frac{2 x}{1 - 2 y}$ with respect to $x$ is $\frac{2}{1 - 2 y} \frac{d}{d x} [x]$ .

$\frac{2}{1 - 2 y} \frac{d}{d x} [x]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$\frac{2}{1 - 2 y} \cdot 1$

Step 3

Simplify the expression.

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Step 3.1

Multiply $\frac{2}{1 - 2 y}$ by $1$ .

$\frac{2}{1 - 2 y}$

Step 3.2

Reorder terms.

$\frac{2}{- 2 y + 1}$