Calculus Examples

$y = a$

Step 1

Differentiate both sides of the equation.

$\frac{d}{d y} (y) = \frac{d}{d y} (a)$

Step 2

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

$1$

Step 3

Rewrite $\frac{d}{d y} [a]$ as $a'$ .

$a'$

Step 4

Reform the equation by setting the left side equal to the right side.

$1 = a'$

Step 5

Rewrite the equation as $a' = 1$ .

$a' = 1$

Step 6

Replace $a'$ with $\frac{d a}{d y}$ .

$\frac{d a}{d y} = 1$