Calculus Examples

$f (x) = \frac{x}{x^{2} + 1}$ , $x = 0$

Step 1

Since $x = 0$ is a vertical line, the slope is undefined.

Undefined

Step 2

Since the slope of the equation $x = 0$ is undefined, there is no tangent line for $f (x) = \frac{x}{x^{2} + 1}$ which is parallel to $x = 0$ .

No tangent line can be found