Calculus Examples

$y - 5$

Step 1

By the Sum Rule, the derivative of $y - 5$ with respect to $y$ is $\frac{d}{d y} [y] + \frac{d}{d y} [- 5]$ .

$\frac{d}{d y} [y] + \frac{d}{d y} [- 5]$

Step 2

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

$1 + \frac{d}{d y} [- 5]$

Step 3

Since $- 5$ is constant with respect to $y$ , the derivative of $- 5$ with respect to $y$ is $0$ .

$1 + 0$

Step 4

Add $1$ and $0$ .

$1$