1. Let's clarify the problem: You mentioned that if $x$ is a whole number, the gradient is undefined. We need to understand what function or curve this refers to. 2. The gradient (or derivative) of a function at a point gives the slope of the tangent line at that point. It is undefined where the derivative does not exist. 3. Common reasons for an undefined gradient include vertical tangents or points where the function is not differentiable. 4. If you provide the function or equation, we can find the derivative and check where it is undefined. 5. For example, if the function is $y = \frac{1}{x - a}$, the gradient is undefined at $x = a$ because the function has a vertical asymptote there. 6. Please provide the function or more context so we can analyze the gradient properly.