Calculus Examples

$y = f (x)$

Step 1

Differentiate using the function rule which states that the derivative of $f (x)$ is $\frac{d f}{d x}$ .

$f' (f) = \frac{d f}{d x}$

Step 2

Since $\frac{d f}{d x}$ is constant with respect to $f$ , the derivative of $\frac{d f}{d x}$ with respect to $f$ is $0$ .

$f'' (f) = 0$