Calculus Examples

$f (x) = x$

Step 1

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

$f' (x) = 1$

Step 2

Since $1$ is constant with respect to $x$ , the derivative of $1$ with respect to $x$ is $0$ .

$f'' (x) = 0$

Step 3

The second derivative of $f (x)$ with respect to $x$ is $0$ .

$0$